Problem: A sum of several measurements taken along the edge of a plot of land totals to 368 miles. The individual measurements are 41 miles, 28 miles, 90 miles, 32 miles, 10 miles, and 98 miles. What is the remaining measurement that hasn't been included in the total yet?

CodeLlama 34B:

  Let's call the remaining measurement "x".

We know that the sum of all the measurements is 368 miles, so we can set up the following equation:

41 + 28 + 90 + 32 + 10 + 98 + x = 368

Simplifying the equation:

241 + x = 368

Subtracting 241 from both sides:

x = 127

So the remaining measurement that hasn't been included in the total yet is 127 miles.

Expected answer: 69

Correct? No

Problem: A regular pentagon has side lengths of 70cm, 36cm, 53cm, and 45cm. If the total perimeter of the pentagon is 300cm, what is the length of its fifth side?

CodeLlama 34B:

  Let's call the length of the fifth side x.

We know that the perimeter of a regular pentagon is equal to the sum of its side lengths. So, we can set up the equation:

70 + 36 + 53 + 45 + x = 300

Simplifying the equation:

194 + x = 300

Subtracting 194 from both sides:

x = 300 - 194

x = 106

Therefore, the length of the fifth side of the regular pentagon is 106 cm.

Expected answer: 96

Correct? No

Problem: A regular nonagon (9-sided polygon) has side lengths of 14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm. If the perimeter of the nonagon is 521cm, what is the length of the ninth side?

CodeLlama 34B:

  Let's call the length of the ninth side "x".

We know that the perimeter of the nonagon is equal to the sum of the lengths of all its sides. So, we can set up the equation:

14 + 94 + 3 + 20 + 57 + 83 + 96 + 85 + x = 521

Simplifying the equation:

94 + 3 + 20 + 57 + 83 + 96 + 85 + x = 521

Combine like terms:

280 + 85 + x = 521

Subtract 280 from both sides:

85 + x = 241

Subtract 85 from both sides:

x = 156

So, the length of the ninth side is 156 cm.

Expected answer: 69

Correct? No

Problem: A polygon has sides measuring 54cm, 51cm, 5cm, 22cm, and 93cm. If the total perimeter of the polygon is 274cm, what is the length of the sixth side?

CodeLlama 34B:

  Let's call the length of the sixth side "x".

We know that the perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter is 274cm, and we have five sides with the following lengths:

* Side 1: 54cm
* Side 2: 51cm
* Side 3: 5cm
* Side 4: 22cm
* Side 5: 93cm

So, we can set up the equation:

54 + 51 + 5 + 22 + 93 + x = 274

Simplifying the equation:

175 + x = 274

Subtracting 175 from both sides:

x = 99

So, the length of the sixth side is 99cm.

Expected answer: 49

Correct? No

Problem: A regular pentagon has a perimeter of 310 m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 310 m, and we know that a regular pentagon has 5 sides. So, we can set up the equation:

5 x side length = 310

To solve for the side length, we can divide both sides by 5:

side length = 310 / 5

side length = 62 m

Therefore, the length of each side of the regular pentagon is 62 m.

Expected answer: 62

Correct? Yes

Problem: A polygon has side lengths of 78cm, 93cm, 21cm, 4cm, and 21cm. If the total perimeter of the shape is 315cm, then what is the length of the last side?

CodeLlama 34B:

  Let's call the length of the last side "x" cm.

We know that the total perimeter of the shape is 315 cm, so we can set up the equation:

78 + 93 + 21 + 4 + x = 315

Simplifying the equation:

206 + x = 315

Subtracting 206 from both sides:

x = 109

So, the length of the last side is 109 cm.

Expected answer: 98

Correct? No

Problem: A regular 8-sided polygon, an octagon, has a perimeter of 160m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of an octagon, we can use the formula for the perimeter of a polygon, which is:

Perimeter = number of sides x side length

We know that the perimeter of the octagon is 160m, and we know that an octagon has 8 sides. So, we can set up the equation:

160 = 8x

To solve for x, we can divide both sides by 8:

20 = x

So, the length of each side of the octagon is 20m.

Expected answer: 20

Correct? Yes

Problem: Consider an octagon. Its seven sides have lengths 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm. What is the length of the other side if the total perimeter of the octagon is 224cm?

CodeLlama 34B:

  Let's call the length of the other side x.

We know that the perimeter of an octagon is equal to the sum of the lengths of all its sides. In this case, the perimeter is 224cm.

We can write an equation based on this information:

6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm + x = 224cm

Simplifying the equation:

265cm + x = 224cm

Subtracting 265cm from both sides:

x = 224cm - 265cm

x = -41cm

So, the length of the other side is -41cm.

Expected answer: 26

Correct? No

Problem: A regular hexagon has a perimeter of 174 meters. If all sides are equal, what is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of one side.

In this case, the perimeter is given as 174 meters, and we know that a regular hexagon has 6 sides. So, we can set up the equation:

174 = 6 x side length

To solve for the side length, we can divide both sides by 6:

side length = 174 / 6

side length = 29 meters

Therefore, the length of one side of the regular hexagon is 29 meters.

Expected answer: 29

Correct? Yes

Problem: A dodecagon has side lengths of 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm. The total perimeter of the dodecagon is 538cm. What is the length of the 11th side?

CodeLlama 34B:

  Let's call the length of the 11th side "x".

We know that the total perimeter of the dodecagon is 538cm, so we can set up the equation:

65 + 22 + 32 + 31 + 78 + 88 + 7 + 29 + 36 + x = 538

Simplifying the equation:

220 + 200 + 119 + x = 538

Subtracting 220 and 200 from both sides:

119 + x = 318

Subtracting 119 from both sides:

x = 200

So, the length of the 11th side is 200cm.

Expected answer: 96

Correct? No

Problem: A hexagon has five side lengths of 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm. What should be the length of the last side so that the sum of lengths of all sides is 357 cm?

CodeLlama 34B:

  Let's call the length of the last side x.

The sum of the lengths of all sides of a hexagon is equal to the perimeter of the hexagon, which is given by:

Perimeter = 61 + 84 + 80 + 11 + 71 + x

We are told that the sum of the lengths of all sides is 357 cm, so we can set up the equation:

61 + 84 + 80 + 11 + 71 + x = 357

Simplifying the equation:

226 + x = 357

Subtracting 226 from both sides:

x = 131

So, the length of the last side should be 131 cm.

Expected answer: 50

Correct? No

Problem: A regular octagon has a perimeter of 544m. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of one side.

In this case, the perimeter is 544 meters and the number of sides is 8, so we can set up the equation:

544 = 8 x side length

To solve for the side length, we can divide both sides by 8:

side length = 544 / 8

side length = 68 meters

Therefore, the length of one side of the regular octagon is 68 meters.

Expected answer: 68

Correct? Yes

Problem: The perimeter of a regular decagon (10-sided polygon) is 960m. Find the length of one side.

CodeLlama 34B:

  To find the length of one side of a regular decagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

Since the perimeter of the decagon is given as 960 meters, we can set up the equation:

960 = 10 x side length

To solve for the side length, we can divide both sides of the equation by 10:

side length = 960 / 10

side length = 96

Therefore, the length of one side of the regular decagon is 96 meters.

Expected answer: 96

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has an unknown side length. If its total perimeter is 203m, how long is each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

Since the perimeter of the heptagon is given as 203 meters, we can set up the equation:

(7) x (side length) = 203

To solve for the side length, we can divide both sides of the equation by 7:

side length = 203 / 7

side length = 29 meters

Therefore, each side of the regular heptagon is 29 meters long.

Expected answer: 29

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 49 meters. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is 49 meters, and the number of sides is 7. So, we can set up the equation:

49 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

6.71 = side length

So, the length of each side of the regular heptagon is 6.71 meters.

Expected answer: 7

Correct? No

Problem: The perimeter of a regular heptagon is 329m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (n x side length)

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 329 meters, and we know that a regular heptagon has 7 sides. So, we can set up the equation:

329 = (7 x side length)

To solve for the side length, we can divide both sides by 7:

side length = 329 / 7

side length = 47

Therefore, the length of each side of the regular heptagon is 47 meters.

Expected answer: 47

Correct? Yes

Problem: The sides of a heptagon have lengths of 86m, 80m, 47m, 93m, and 99m. If the total perimeter of the heptagon is 486m, what is the length of the sixth side?

CodeLlama 34B:

  Let's call the length of the sixth side x.

We know that the perimeter of a polygon is equal to the sum of its sides, so we can set up the equation:

86 + 80 + 47 + 93 + 99 + x = 486

Simplifying the equation:

86 + 80 + 47 + 93 + 99 = 486 - x

486 - x = 486

x = 0

So, the length of the sixth side is 0.

Expected answer: 81

Correct? No

Problem: A regular heptagon has a perimeter of 546m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (n x side length)

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 546m, and we know that a regular heptagon has 7 sides. So, we can set up the equation:

546 = (7 x side length)

To solve for the side length, we can divide both sides by 7:

side length = 546 / 7

side length = 76.57

So, the length of each side of the regular heptagon is 76.57 meters.

Expected answer: 78

Correct? No

Problem: A nonagon (nine-sided polygon) has 8 of its sides with lengths 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm, respectively. If the perimeter of the nonagon is 532cm, what is the length of the ninth side?

CodeLlama 34B:

  Let's call the length of the ninth side "x".

We know that the perimeter of the nonagon is equal to the sum of the lengths of all its sides:

Perimeter = 26cm + 45cm + 75cm + 68cm + 63cm + 80cm + 100cm + x

We are also given that the perimeter is 532cm, so we can set up the equation:

26 + 45 + 75 + 68 + 63 + 80 + 100 + x = 532

Simplifying the equation:

26 + 45 + 75 + 68 + 63 + 80 + 100 + x = 532

Solving for x:

x = 532 - 26 - 45 - 75 - 68 - 63 - 80 - 100

x = 532 - 424

x = 108

Therefore, the length of the ninth side of the nonagon is 108cm.

Expected answer: 75

Correct? No

Problem: The sides of a decagon are 62m, 76m, 98m, 74m, another unknown side, 54m, 4m, 24m, and 48m respectively. All sides are equal in length. If the perimeter of the shape is 452m, what is the length of the unknown side?

CodeLlama 34B:

  Let's call the length of the unknown side "x".

We know that the perimeter of the shape is equal to the sum of the lengths of all its sides. In this case, the perimeter is 452m.

We can write an equation based on this information:

62m + 76m + 98m + 74m + x + 54m + 4m + 24m + 48m = 452m

Simplifying the equation:

276m + x = 452m

Subtracting 276m from both sides:

x = 176m

Therefore, the length of the unknown side is 176m.

Expected answer: 12

Correct? No

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 78m, and we know that a regular hexagon has 6 sides. So, we can set up the equation:

78 = 6 x side length

To solve for the side length, we can divide both sides by 6:

side length = 78 / 6

side length = 13 m

Therefore, the length of each side of the regular hexagon is 13 meters.

Expected answer: 13

Correct? Yes

Problem: A regular nonagon has a perimeter of 171m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 171 meters, and we know that a regular nonagon has 9 sides. So, we can set up the equation:

171 = (9) x (side length)

Now, we can solve for the side length by dividing both sides of the equation by 9:

side length = 171 / 9

side length = 19

Therefore, the length of each side of a regular nonagon with a perimeter of 171 meters is 19 meters.

Expected answer: 19

Correct? Yes

Problem: A nonagon has the following side lengths: 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55cm, and 68cm. It also has one unknown side length. The overall perimeter of the nonagon is 318 cm. What is the length of the unknown side?

CodeLlama 34B:

  Let's call the unknown side length "x".

We know that the perimeter of a nonagon is equal to the sum of its side lengths. So, we can set up the equation:

8 + 17 + 30 + 17 + 86 + 55 + 68 + x = 318

Simplifying the equation:

8 + 17 + 30 + 17 + 86 + 55 + 68 = 318

Combine like terms:

221 + x = 318

Subtract 221 from both sides:

x = 97

Therefore, the length of the unknown side is 97 cm.

Expected answer: 37

Correct? No

Problem: An 11-sided regular polygon has a perimeter of 858m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of an 11-sided regular polygon, we can use the formula:

Perimeter = (number of sides) x (side length)

We are given that the perimeter is 858 meters, and we know that there are 11 sides. So, we can set up the equation:

858 = (11) x (side length)

Now, we can solve for the side length by dividing both sides of the equation by 11:

side length = 858 / 11

side length = 78

Therefore, the length of each side of the 11-sided regular polygon is 78 meters.

Expected answer: 78

Correct? Yes

Problem: A regular decagon has a perimeter of 360m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular decagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

In this case, the perimeter is 360 meters, and the number of sides is 10 (since it's a decagon). So, we can set up the equation:

360 = 10 x side length

To solve for the side length, we can divide both sides by 10:

36 = side length

So, the length of each side of the regular decagon is 36 meters.

Expected answer: 36

Correct? Yes

Problem: A regular hexagon has a perimeter of 522m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula:

Perimeter = 6s

where s is the length of each side.

Given that the perimeter of the hexagon is 522m, we can set up the equation:

522 = 6s

To solve for s, we can divide both sides by 6:

522/6 = s

s = 87

Therefore, the length of each side of the regular hexagon is 87m.

Expected answer: 87

Correct? Yes

Problem: A regular polygon has a perimeter of 418m. If each side is the same length, what is the length of each side? Assume the polygon has 11 sides.

CodeLlama 34B:

  To find the length of each side of the regular polygon, we can use the formula for the perimeter of a regular polygon:

Perimeter = (number of sides) x (side length)

We are given that the perimeter is 418 meters, and we know that the polygon has 11 sides. So, we can substitute these values into the formula to solve for the side length:

418 = (11) x (side length)

Now, we can divide both sides by 11 to solve for the side length:

side length = 418 / 11

side length = 38

Therefore, the length of each side of the regular polygon is 38 meters.

Expected answer: 38

Correct? Yes

Problem: A polygon has side lengths of 56m, 73m, 39m, 24m, and 26m. If the total perimeter of the polygon is 278m, what is the length of the sixth side?

CodeLlama 34B:

  Let's call the length of the sixth side x.

We know that the perimeter of a polygon is the sum of the lengths of all its sides. So, we can set up an equation based on that:

56 + 73 + 39 + 24 + 26 + x = 278

Simplifying the equation:

56 + 73 + 39 + 24 + 26 = 278 - x

Combine like terms:

192 = 278 - x

Subtract 192 from both sides:

86 = -x

Negate the right side:

x = -86

So, the length of the sixth side is -86 meters.

Expected answer: 60

Correct? No

Problem: A regular pentagon has a perimeter of 385cm. How long is each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 385 cm, and we know that a regular pentagon has 5 sides. So, we can set up the equation:

385 = 5 x side length

To solve for the side length, we can divide both sides by 5:

77 = side length

So, each side of the regular pentagon is 77 cm long.

Expected answer: 77

Correct? Yes

Problem: The perimeter of a very irregular eleven-sided polygon is 663m. Of those eleven sides, ten are known to be 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, and 61m respectively. What is the length of the unknown eleventh side?

CodeLlama 34B:

  Let's call the length of the unknown eleventh side "x".

We know that the perimeter of the polygon is 663 meters, so we can set up the equation:

97 + 93 + 35 + 1 + 27 + 86 + 68 + 96 + 45 + 61 + x = 663

Simplifying the equation:

97 + 93 + 35 + 27 + 86 + 68 + 96 + 45 + 61 + x = 663

Combine like terms:

357 + 252 + 184 + x = 663

Subtract 357 from both sides:

252 + 184 + x = 306

Subtract 252 from both sides:

184 + x = 51

Subtract 184 from both sides:

x = 51 - 184

x = -133

Therefore, the length of the unknown eleventh side is -133 meters.

Expected answer: 54

Correct? No

Problem: A decagon has side lengths of 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, and 54m respectively. The length of the tenth side is not known. What is the length of this side if the total perimeter of the decagon is 575m?

CodeLlama 34B:

  Let's first find the total length of the sides of the decagon:

54 + 49 + 85 + 48 + 85 + 19 + 94 + 44 + 54 = 575

Now, we can see that the length of the tenth side is also 54m, which is the same as the first side. Therefore, the total perimeter of the decagon is:

54 + 49 + 85 + 48 + 85 + 19 + 94 + 44 + 54 = 575

So, the length of the tenth side is 54m.

Expected answer: 43

Correct? No

Problem: Given a regular octagon with a perimeter of 248m, what is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular octagon, we can use the formula:

side length = (perimeter / number of sides) / 2

In this case, the perimeter of the octagon is 248 meters, and there are 8 sides. So, we can plug these values into the formula to get:

side length = (248 / 8) / 2

side length = 32 meters

Therefore, the length of each side of the regular octagon is 32 meters.

Expected answer: 31

Correct? No

Problem: A regular pentagon has a perimeter of 390m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 390m, and we know that a regular pentagon has 5 sides. So, we can set up the equation:

390 = 5 x side length

To solve for the side length, we can divide both sides by 5:

78 = side length

So, the length of each side of the regular pentagon is 78m.

Expected answer: 78

Correct? Yes

Problem: A decagon has nine side lengths given as 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m. If the total perimeter is 522m, find the length of the tenth side.

CodeLlama 34B:

  Let's call the length of the tenth side "x" meters.

We know that the total perimeter of the decagon is 522 meters, so we can set up the equation:

6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m + x = 522m

Simplifying the equation:

6 + 85 + 83 + 73 + 25 + 66 + 54 + 87 + 21 + x = 522

Combine like terms:

385 + x = 522

Subtract 385 from both sides:

x = 522 - 385

x = 137 meters

Therefore, the length of the tenth side is 137 meters.

Expected answer: 22

Correct? No

Problem: A regular octagon has a perimeter of 408m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 408 meters, and we know that an octagon has 8 sides. So, we can set up the equation:

408 = 8 x side length

To solve for the side length, we can divide both sides by 8:

side length = 408 / 8

side length = 51.25 meters

Therefore, the length of each side of the regular octagon is 51.25 meters.

Expected answer: 51

Correct? No

Problem: An octagon has an equal length of sides. If the perimeter of the octagon is 696m, what is the length of each side?

CodeLlama 34B:

  To find the length of each side of an octagon, we can use the formula:

Perimeter = 8s

where s is the length of each side.

Given that the perimeter of the octagon is 696m, we can set up the equation:

696 = 8s

To solve for s, we can divide both sides by 8:

84 = s

Therefore, the length of each side of the octagon is 84m.

Expected answer: 87

Correct? No

Problem: An octagon has a perimeter of 744m. What is the length of each side if all sides are equal?

CodeLlama 34B:

  To find the length of each side of an octagon, we need to first find the length of a side of a regular polygon, which is a polygon with all sides equal.

The formula for the length of a side of a regular polygon is:

side length = perimeter / number of sides

In this case, the perimeter of the octagon is 744m, and there are 8 sides. So, we can plug these values into the formula to find the length of each side:

side length = 744 / 8

side length = 93.125m

Therefore, the length of each side of the octagon is 93.125m.

Expected answer: 93

Correct? No

Problem: A regular nonagon (9-sided polygon) has a perimeter of 270m. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is 270m, and the number of sides is 9. So, we can set up the equation:

270 = (9) x (side length)

To solve for the side length, we can divide both sides by 9:

270 / 9 = side length

side length = 30

Therefore, the length of one side of the regular nonagon is 30 meters.

Expected answer: 30

Correct? Yes

Problem: A nonagon nine-sided polygon has eight known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm. If the total perimeter of the nonagon is 350cm, what is the length of the unknown ninth side?

CodeLlama 34B:

  Let's call the length of the unknown ninth side "x".

We know that the perimeter of a polygon is equal to the sum of its side lengths, so we can set up the equation:

30 + 18 + 68 + 23 + 72 + 57 + 33 + 19 + x = 350

Simplifying the equation:

280 + x = 350

Subtracting 280 from both sides:

x = 70

So, the length of the unknown ninth side is 70cm.

Expected answer: 30

Correct? Yes

Problem: A nonagon has eight side lengths known which are 19m, 7m, 10m, 16m, 32m, 15m and 70m. What is the length of the ninth side if the total perimeter of the nonagon is 188m?

CodeLlama 34B:

  Let's call the length of the ninth side "x".

We know that the total perimeter of the nonagon is 188m, so we can set up the equation:

19m + 7m + 10m + 16m + 32m + 15m + 70m + x = 188m

Simplifying the equation:

19 + 7 + 10 + 16 + 32 + 15 + 70 + x = 188

Combine like terms:

19 + 7 + 10 + 16 + 32 + 15 + 70 = 188 - x

19 + 7 + 10 + 16 + 32 + 15 + 70 = 188

Subtract 19 + 7 + 10 + 16 + 32 + 15 + 70 from both sides:

-x = -188

x = 188

Therefore, the length of the ninth side is 188m.

Expected answer: 19

Correct? No

Problem: A regular hexagon has a perimeter of 90m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 90m and the number of sides is 6, so we can set up the equation:

90 = 6 x side length

To solve for the side length, we can divide both sides by 6:

side length = 90 / 6

side length = 15 meters

Therefore, the length of each side of the regular hexagon is 15 meters.

Expected answer: 15

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 287 meters, and the number of sides is 7. So, we can set up the equation:

287 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

287 / 7 = side length

side length = 41 meters

Therefore, the length of each side of the regular heptagon is 41 meters.

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 50m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 50m and the number of sides is 5, so we can set up the equation:

50 = 5 x side length

To solve for the side length, we can divide both sides by 5:

10 = side length

Therefore, the length of each side of the regular pentagon is 10m.

Expected answer: 10

Correct? Yes

Problem: A regular nonagon has a perimeter of 63m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is 63 meters, and we know that a regular nonagon has 9 sides. So, we can set up the equation:

63 = (9) x (side length)

Now, we can solve for the side length by dividing both sides of the equation by 9:

side length = 63 / 9

side length = 7 meters

Therefore, the length of each side of a regular nonagon is 7 meters.

Expected answer: 7

Correct? Yes

Problem: A regular hexagon has a perimeter of 354m. What is the length of one side of this hexagon?

CodeLlama 34B:

  To find the length of one side of a regular hexagon, we can use the formula:

Perimeter = 6s

where s is the length of one side.

Given that the perimeter of the hexagon is 354m, we can set up the equation:

354 = 6s

To solve for s, we can divide both sides by 6:

59 = s

Therefore, the length of one side of the regular hexagon is 59m.

Expected answer: 59

Correct? Yes

Problem: A polygon has side lengths of 59m, 16m, 15m, 35m, 89m, 16m, 43m and 7m. If the total perimeter of the polygon is 286m, what is the length of the last unknown side?

CodeLlama 34B:

  Let's call the length of the last unknown side "x".

We know that the total perimeter of the polygon is 286m, so we can set up the equation:

59 + 16 + 15 + 35 + 89 + 16 + 43 + x = 286

Simplifying the equation:

59 + 16 + 15 + 35 + 89 + 16 + 43 + x = 286

Combine like terms:

16 + 16 + 35 + 43 + x = 286 - 59 - 15 - 89

16 + 35 + 43 + x = 286 - 59 - 15 - 89

x = 286 - 59 - 15 - 89 - 35 - 43

x = 286 - 182

x = 104

Therefore, the length of the last unknown side is 104m.

Expected answer: 6

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 616m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is 616m, and the number of sides is 7. So, we can set up the equation:

616 = (7) x (side length)

Now, we can solve for the side length by dividing both sides by 7:

side length = 616 / 7

side length = 89.29

Therefore, the length of each side of the regular heptagon is 89.29 meters.

Expected answer: 88

Correct? No

Problem: A regular hexagon has a perimeter of 36m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 36m and the number of sides is 6, so we can set up the equation:

36 = 6 x side length

To solve for the side length, we can divide both sides by 6:

side length = 36 / 6

side length = 6

Therefore, the length of each side of the regular hexagon is 6 meters.

Expected answer: 6

Correct? Yes

Problem: A dodecagon has 11 of its 12 sides already measured. The lengths are 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm respectively. If the total perimeter of the dodecagon is 492cm, what is the length of the twelfth side?

CodeLlama 34B:

  Let's call the length of the twelfth side "x".

We know that the total perimeter of the dodecagon is 492cm, so we can set up the equation:

88 + 24 + 83 + 64 + 16 + 14 + 90 + 36 + 47 + x = 492

Simplifying the equation:

88 + 24 + 83 + 64 + 16 + 14 + 90 + 36 + 47 + x = 492

Combine like terms:

24 + 83 + 64 + 16 + 14 + 90 + 36 + 47 + x = 492 - 88

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47 + x = 404

Combine like terms:

103 + 64 + 16 + 14 + 90 + 36 + 47

Expected answer: 30

Correct? No

Problem: A regular hexagon has a perimeter of 306m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula:

Perimeter = 6s

where s is the length of each side.

Given that the perimeter of the hexagon is 306m, we can set up the equation:

306 = 6s

To solve for s, we can divide both sides by 6:

51 = s

Therefore, the length of each side of the regular hexagon is 51m.

Expected answer: 51

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 238 meters. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 238 meters, and the number of sides is 7. So, we can set up the equation:

238 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

31 = side length

So, the length of each side of the regular heptagon is 31 meters.

Expected answer: 34

Correct? No

Problem: A regular hexagon has a total perimeter of 42m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 42m, and we know that a regular hexagon has 6 sides. So, we can set up the equation:

6 x side length = 42

To solve for the side length, we can divide both sides by 6:

side length = 42 / 6

side length = 7

Therefore, the length of each side of the regular hexagon is 7 meters.

Expected answer: 7

Correct? Yes

Problem: A regular octagon has a perimeter of 624m. What is the length of each side of the octagon?

CodeLlama 34B:

  To find the length of each side of the octagon, we need to use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 624 meters and the number of sides is 8, so we can set up the equation:

624 = 8 x side length

To solve for the side length, we can divide both sides by 8:

side length = 624 / 8

side length = 78 meters

Therefore, the length of each side of the octagon is 78 meters.

Expected answer: 78

Correct? Yes

Problem: A polygon with nine sides has lengths of 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, and 93m. What is the length of the tenth side if the total perimeter of the polygon is 468 meters?

CodeLlama 34B:

  Let's call the length of the tenth side x.

We know that the perimeter of a polygon is the sum of the lengths of all its sides. In this case, we are given the lengths of nine sides, and we want to find the length of the tenth side.

The perimeter of the polygon is equal to the sum of the lengths of all its sides, which is:

17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 + x = 468

Simplifying the equation, we get:

17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 + x = 468

x = 468 - (17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93)

x = 468 - 340

x = 128

Therefore, the length of the tenth side of the polygon is 128 meters.

Expected answer: 98

Correct? No

Problem: A regular pentagon has a perimeter of 380m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 380m, and we know that a regular pentagon has 5 sides. So, we can set up the equation:

380 = 5 x side length

To solve for the side length, we can divide both sides by 5:

76 = side length

So, the length of each side of the regular pentagon is 76 meters.

Expected answer: 76

Correct? Yes

Problem: A regular octagon has a perimeter of 104cm. What is the length of one of its sides?

CodeLlama 34B:

  To find the length of one side of a regular octagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

Since the perimeter of the octagon is given as 104cm, we can set up the equation:

104 = 8 x side length

To solve for the side length, we can divide both sides of the equation by 8:

104/8 = side length

side length = 13cm

Therefore, the length of one side of the regular octagon is 13cm.

Expected answer: 13

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 637m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula:

Perimeter = 7 \* Side Length

We are given that the perimeter of the heptagon is 637 meters, so we can set up the equation:

637 = 7 \* Side Length

Now, we can solve for the side length by dividing both sides of the equation by 7:

Side Length = 637 / 7

Side Length = 91 meters

Therefore, the length of each side of the regular heptagon is 91 meters.

Expected answer: 91

Correct? Yes

Problem: A regular pentagon has a perimeter of 35m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 35m and the number of sides is 5, so we can set up the equation:

35 = 5 x side length

To solve for the side length, we can divide both sides by 5:

side length = 35 / 5

side length = 7

Therefore, the length of each side of the regular pentagon is 7 meters.

Expected answer: 7

Correct? Yes

Problem: The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively. What is the length of the fifth side?

CodeLlama 34B:

  Let's call the length of the fifth side x.

We know that the perimeter of a pentagon is equal to the sum of the lengths of all its sides. So, we can set up the equation:

45 + 93 + 36 + 22 + x = 223

Simplifying the equation:

95 + x = 223

Subtracting 95 from both sides:

x = 128

So, the length of the fifth side is 128 cm.

Expected answer: 27

Correct? No

Problem: A polygon has sides measuring 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm. If the perimeter of the polygon is 423cm, what is the length of the last unknown side?

CodeLlama 34B:

  Let's call the length of the last unknown side "x".

We know that the perimeter of the polygon is equal to the sum of the lengths of all its sides. So, we can set up the equation:

75 + 81 + 22 + 94 + 91 + x = 423

Simplifying the equation:

250 + 94 + 91 + x = 423

Subtracting 250 and 94 from both sides:

91 + x = 139

Subtracting 91 from both sides:

x = 48

Therefore, the length of the last unknown side is 48 cm.

Expected answer: 50

Correct? No

Problem: A regular decagon (10-sided polygon) has a perimeter of 600m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular decagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

In this case, the perimeter is 600m, and the number of sides is 10. So, we can set up the equation:

600 = 10 x side length

To solve for the side length, we can divide both sides by 10:

600 / 10 = side length

side length = 60

Therefore, the length of each side of the regular decagon is 60 meters.

Expected answer: 60

Correct? Yes

Problem: The perimeter of a regular octagon is 632m. What is the length of each of its sides?

CodeLlama 34B:

  To find the length of each side of a regular octagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

Since the perimeter of the octagon is given as 632 meters, we can set up the equation:

632 = 8 x side length

To solve for the side length, we can divide both sides of the equation by 8:

side length = 632 / 8

side length = 81 meters

Therefore, the length of each side of the regular octagon is 81 meters.

Expected answer: 79

Correct? No

Problem: A regular septagon (7-sided polygon) has a total perimeter of 161m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular septagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 161 meters, and the number of sides is 7. So, we can set up the equation:

161 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

23 = side length

So, the length of each side of the regular septagon is 23 meters.

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 96m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 96m and the number of sides is 6, so we can set up the equation:

96 = 6 x side length

To solve for the side length, we can divide both sides by 6:

16 = side length

Therefore, the length of each side of the regular hexagon is 16m.

Expected answer: 16

Correct? Yes

Problem: A nonagon (9-sided polygon), has sides with length 50m, 31m, 24m, 28m, 13m, 97m, 63m and 88m. Find the length of the ninth side if the total perimeter of the nonagon is 402m.

CodeLlama 34B:

  Let's call the length of the ninth side "x" meters.

The perimeter of a nonagon is the sum of the lengths of all its sides. In this case, the perimeter is 402 meters.

We can write an equation using the information given:

50 + 31 + 24 + 28 + 13 + 97 + 63 + 88 + x = 402

Simplifying the equation:

280 + x = 402

Subtracting 280 from both sides:

x = 122

So, the length of the ninth side is 122 meters.

Expected answer: 8

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 385m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula:

Perimeter = 7 \* Side Length

We are given that the perimeter of the heptagon is 385 meters, so we can set up the equation:

385 = 7 \* Side Length

To solve for the side length, we can divide both sides of the equation by 7:

Side Length = 385 / 7

Side Length = 55 meters

Therefore, the length of each side of the regular heptagon is 55 meters.

Expected answer: 55

Correct? Yes

Problem: The total perimeter of a polygon is 358 meters. The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters. What is the length of the remaining side?

CodeLlama 34B:

  Let's call the length of the remaining side x.

We know that the total perimeter of the polygon is 358 meters, so we can set up the equation:

89 + 2 + 10 + 48 + 94 + x = 358

Simplifying the equation:

249 + x = 358

Subtracting 249 from both sides:

x = 109

Therefore, the length of the remaining side is 109 meters.

Expected answer: 56

Correct? No

Problem: An octagon has a equal sides and its total perimeter is 496m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of an octagon, we can use the formula for the perimeter of a polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter of the octagon is given as 496 meters, and we know that an octagon has 8 sides. So, we can set up the equation:

496 = 8 x side length

To solve for the side length, we can divide both sides of the equation by 8:

66.25 = side length

So, the length of each side of the octagon is 66.25 meters.

Expected answer: 62

Correct? No

Problem: A regular octagon has a perimeter of 800m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 800m and the number of sides is 8, so we can set up the equation:

800 = 8 x side length

To solve for the side length, we can divide both sides by 8:

100 = side length

Therefore, the length of each side of the regular octagon is 100m.

Expected answer: 100

Correct? Yes

Problem: A regular nonagon has a certain side length. If the perimeter of the nonagon is 702 m, what is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is given by:

Perimeter = number of sides x side length

In this case, the perimeter of the nonagon is 702 m, and we know that a nonagon has 9 sides. So, we can set up the equation:

9x = 702

To solve for x, we can divide both sides by 9:

x = 702/9

x = 80

Therefore, the length of one side of the regular nonagon is 80 m.

Expected answer: 78

Correct? No

Problem: A regular nonagon has a perimeter of 855cm. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = number of sides x side length

In this case, the perimeter is 855 cm, and we know that a regular nonagon has 9 sides. So, we can set up the equation:

9x = 855

To solve for x, we can divide both sides by 9:

x = 855/9

x = 94.44

So, the length of one side of a regular nonagon with a perimeter of 855 cm is 94.44 cm.

Expected answer: 95

Correct? No

Problem: If a regular heptagon has a perimeter of 504 meters, find the length of its side.

CodeLlama 34B:

  To find the length of a side of a regular heptagon, we can use the formula:

perimeter = side x number of sides

We are given that the perimeter of the heptagon is 504 meters, and we know that a regular heptagon has 7 sides. So, we can set up the equation:

504 = side x 7

To solve for the length of the side, we can divide both sides of the equation by 7:

504 / 7 = side

side = 73.6 meters

Therefore, the length of a side of the regular heptagon is 73.6 meters.

Expected answer: 72

Correct? No

Problem: A regular nonagon has a perimeter of 657m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is 657 meters, and we know that a regular nonagon has 9 sides. So, we can set up the equation:

657 = (9) x (side length)

Now, we can solve for the side length by dividing both sides of the equation by 9:

side length = 657 / 9

side length = 72.99 meters

Therefore, the length of each side of a regular nonagon with a perimeter of 657 meters is approximately 72.99 meters.

Expected answer: 73

Correct? No

Problem: Given a regular octagon where the total perimeter is 48 cm, what is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 48 cm, and we know that an octagon has 8 sides. So, we can set up the equation:

48 = 8 x side length

To solve for the side length, we can divide both sides by 8:

side length = 48 / 8

side length = 6 cm

Therefore, the length of each side of the regular octagon is 6 cm.

Expected answer: 6

Correct? Yes

Problem: A polygon has eight sides with lengths: 28m, 37m, 51m, 84m, 54m, 31m, 94m, and 12m. If the total perimeter of the polygon is 399m, what is the length of the remaining unknown side?

CodeLlama 34B:

  Let's call the length of the remaining unknown side "x".

We know that the total perimeter of the polygon is 399m, so we can set up the equation:

28 + 37 + 51 + 84 + 54 + 31 + 94 + x = 399

Simplifying the equation:

28 + 37 + 51 + 84 + 54 + 31 + 94 + x = 399

Combine like terms:

28 + 37 + 51 + 84 + 54 + 31 + 94 = 399 - x

Subtract 28 + 37 + 51 + 84 + 54 + 31 + 94 from both sides:

-x = 399 - 28 - 37 - 51 - 84 - 54 - 31 - 94

-x = 399 - 350

-x = 149

x = -149

Therefore, the length of the remaining unknown side is -149m.

Expected answer: 8

Correct? No

Problem: A regular nonagon has a perimeter of 342m. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = number of sides x side length

In this case, the perimeter is 342 meters, and we know that a regular nonagon has 9 sides. So, we can set up the equation:

9x = 342

To solve for x, we can divide both sides by 9:

x = 342/9

x = 40

Therefore, the length of one side of a regular nonagon is 40 meters.

Expected answer: 38

Correct? No

Problem: In a polygon with 8 sides, 7 of the side lengths are given as follows: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m. Given that the total perimeter of the polygon is 330 m, what is the length of the eighth side?

CodeLlama 34B:

  Let's call the length of the eighth side "x" meters.

We know that the total perimeter of the polygon is 330 meters, so we can set up the following equation:

7 m + 59 m + 49 m + 38 m + 53 m + 21 m + 34 m + x = 330 m

Simplifying the equation:

7 + 59 + 49 + 38 + 53 + 21 + 34 + x = 330

Combine like terms:

210 + x = 330

Subtract 210 from both sides:

x = 120

Therefore, the length of the eighth side is 120 meters.

Expected answer: 69

Correct? No

Problem: A decagon has side lengths of 88m, 96m, 74m, 52m, 45m, 74m, 85m, 85m, and 43m. What is the length of the tenth side if the total perimeter of the decagon is 682m?

CodeLlama 34B:

  Let's call the length of the tenth side x.

The perimeter of a decagon is the sum of the lengths of all its sides. So, the total perimeter of the decagon is:

88 + 96 + 74 + 52 + 45 + 74 + 85 + 85 + x = 682

Simplifying the equation:

88 + 96 + 74 + 52 + 45 + 74 + 85 + 85 + x = 682

Combine like terms:

2(88) + 2(96) + 2(74) + 2(52) + 2(45) + 2(74) + 2(85) + 2(85) + x = 2(682)

Simplify:

176 + 192 + 148 + 104 + 90 + 148 + 170 + 170 + x = 1364

Combine like terms:

176 + 192 + 148 + 104 + 90 + 148 + 170 + 170 + x = 1364

Simplify:

488 + 440 + 296 + 176 + 160 + 296 + 340 + 340 + x = 1364

Combine like terms:

488 + 440 + 296 + 176 + 160 + 296 + 340 + 340 + x = 1364

Simplify:

1334 + x = 1364

Subtract 1334 from both sides:

x = 30

Therefore, the length of the tenth side of the decagon is 30 meters.

Expected answer: 40

Correct? No

Problem: A regular septagon (7-sided polygon) has a constant perimeter of 161m. If all sides are equal, what is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular septagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = (number of sides) x (side length)

Since the perimeter of the septagon is given as 161 meters, we can set up the equation:

161 = (7) x (side length)

Solving for the side length, we get:

side length = 161 / 7

side length = 23 meters

Therefore, the length of each side of the regular septagon is 23 meters.

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 324m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula:

Perimeter = 6s

where s is the length of each side.

Given that the perimeter of the hexagon is 324m, we can set up the equation:

324 = 6s

To solve for s, we can divide both sides by 6:

54 = s

Therefore, the length of each side of the regular hexagon is 54m.

Expected answer: 54

Correct? Yes

Problem: A regular pentagon's perimeter is 385 meters. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 385 meters, and the number of sides is 5. So, we can set up the equation:

385 = (5) x (side length)

To solve for the side length, we can divide both sides by 5:

77 = side length

Therefore, the length of one side of the regular pentagon is 77 meters.

Expected answer: 77

Correct? Yes

Problem: A regular septagon (7-sided polygon) has a perimeter of 245m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular septagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 245m, and the number of sides is 7. So, we can set up the equation:

245 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

35 = side length

So, the length of each side of the regular septagon is 35m.

Expected answer: 35

Correct? Yes

Problem: A regular pentagon has a perimeter of 25cm. What is the length of one of its sides?

CodeLlama 34B:

  The perimeter of a regular pentagon is equal to the sum of the lengths of all its sides. Since the perimeter is given as 25 cm, we can use this information to find the length of one side.

Let's call the length of one side x. Since the pentagon is regular, all sides are equal, so we can say that the other four sides have the same length as the first side.

The perimeter of the pentagon is equal to the sum of the lengths of all its sides, which is:

Perimeter = 5x

Since the perimeter is given as 25 cm, we can set up the equation:

5x = 25

To solve for x, we can divide both sides by 5:

x = 25/5

x = 5

So, the length of one side of the regular pentagon is 5 cm.

Expected answer: 5

Correct? Yes

Problem: A regular hexagon has five of its sides measuring 9m, 49m, 100m, 73m, and 84m respectively. If the total perimeter of the hexagon is 380m, find the length of the sixth side.

CodeLlama 34B:

  Let's call the length of the sixth side "x".

We know that the perimeter of a hexagon is equal to the sum of the lengths of all its sides. In this case, the perimeter is 380m.

We can set up an equation using the information given:

9m + 49m + 100m + 73m + 84m + x = 380m

Simplifying the equation:

231m + x = 380m

Subtracting 231m from both sides:

x = 49m

Therefore, the length of the sixth side is 49m.

Expected answer: 65

Correct? No

Problem: An irregular polygon has seven sides with lengths of 23m, 67m, 57m, 94m, 93m, 18m and 30m respectively. If the total perimeter of the polygon is 419m, what is the length of the missing side?

CodeLlama 34B:

  Let's call the length of the missing side "x".

We know that the perimeter of a polygon is the sum of the lengths of all its sides. In this case, we can calculate the perimeter of the polygon by adding up the lengths of all seven sides:

23 + 67 + 57 + 94 + 93 + 18 + x = 419

Simplifying the equation, we get:

23 + 67 + 57 + 94 + 93 + 18 + x = 419

x = 419 - 23 - 67 - 57 - 94 - 93 - 18

x = 419 - 345

x = 74

Therefore, the length of the missing side is 74 meters.

Expected answer: 37

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

In this case, the perimeter is given as 287 meters, and the number of sides is 7. So, we can set up the equation:

287 = (7) x (side length)

To solve for the side length, we can divide both sides by 7:

287 / 7 = side length

side length = 41 meters

Therefore, the length of each side of the regular heptagon is 41 meters.

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 55m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular pentagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is 55m and the number of sides is 5, so we can set up the equation:

55 = 5 x side length

To solve for the side length, we can divide both sides by 5:

side length = 55 / 5

side length = 11

Therefore, the length of each side of the regular pentagon is 11 meters.

Expected answer: 11

Correct? Yes

Problem: A regular nonagon, which is a nine-sided polygon, has equal side lengths. If the entire perimeter of the nonagon is 657 meters, how long is each side?

CodeLlama 34B:

  To find the length of each side of a regular nonagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (number of sides) x (side length)

Since the nonagon has 9 sides, we can plug this value into the formula:

Perimeter = (9) x (side length)

We know that the perimeter of the nonagon is 657 meters, so we can set up an equation:

(9) x (side length) = 657

To solve for the side length, we can divide both sides of the equation by 9:

side length = 657 / 9

side length = 72.99 meters

Therefore, each side of the regular nonagon is 72.99 meters long.

Expected answer: 73

Correct? No

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular hexagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 78m, and we know that a regular hexagon has 6 sides. So, we can set up the equation:

78 = 6 x side length

To solve for the side length, we can divide both sides by 6:

side length = 78 / 6

side length = 13 m

Therefore, the length of each side of the regular hexagon is 13 meters.

Expected answer: 13

Correct? Yes

Problem: A regular octagon has a total perimeter of 600 meters. What is the length of one of its sides?

CodeLlama 34B:

  To find the length of one side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = number of sides x side length

In this case, the perimeter is 600 meters, and we know that a regular octagon has 8 sides. So, we can set up the equation:

600 = 8x

To solve for x, we can divide both sides by 8:

x = 600/8

x = 75

Therefore, the length of one side of the regular octagon is 75 meters.

Expected answer: 75

Correct? Yes

Problem: A polygon has side lengths of 39m, 26m, 47m, 52m, 66m, 17m, and 34m. If the overall perimeter of the polygon is 356m, what is the length of the last side?

CodeLlama 34B:

  Let's call the length of the last side "x".

We know that the perimeter of a polygon is the sum of the lengths of all its sides. So, we can set up an equation based on that:

39 + 26 + 47 + 52 + 66 + 17 + x = 356

Simplifying the equation:

26 + 47 + 52 + 66 + 17 + x = 356 - 39

26 + 47 + 52 + 66 + 17 + x = 317

Subtracting 26 from both sides:

19 + 47 + 52 + 66 + 17 + x = 317 - 26

19 + 47 + 52 + 66 + 17 + x = 291

Subtracting 47 from both sides:

19 + 52 + 66 + 17 + x = 291 - 47

19 + 52 + 66 + 17 + x = 244

Subtracting 52 from both sides:

19 + 66 + 17 + x = 244 - 52

19 + 66 + 17 + x = 192

Subtracting 66 from both sides:

19 + 17 + x = 192 - 66

19 + 17 + x = 126

Subtracting 19 from both sides:

17 + x = 126 - 19

17 + x = 107

Subtracting 17 from both sides:

x = 107 - 17

x = 90

Therefore, the length of the last side is 90 meters.

Expected answer: 75

Correct? No

Problem: A regular decagon has a perimeter of 930 cm. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular decagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

Since the perimeter of the decagon is given as 930 cm, we can set up the equation:

930 = 10 x side length

To solve for the side length, we can divide both sides by 10:

side length = 930 / 10

side length = 93 cm

Therefore, the length of each side of the regular decagon is 93 cm.

Expected answer: 93

Correct? Yes

Problem: A decagon has eight of its sides measuring 24m, 25m, 75m, 38m, 18m, 42m and 61m. If the total perimeter of the decagon is 359m, can you find the length of one of the unknown sides?

CodeLlama 34B:

  Yes, we can find the length of one of the unknown sides of the decagon.

Let's call the length of one of the unknown sides "x". Then, we can write the perimeter of the decagon as:

P = 24 + 25 + 75 + 38 + 18 + 42 + 61 + x

We know that the total perimeter of the decagon is 359 meters, so we can set up the equation:

P = 359

We can simplify the equation by combining like terms:

24 + 25 + 75 + 38 + 18 + 42 + 61 + x = 359

Now, we can solve for "x" by subtracting 240 from both sides of the equation (240 is the sum of the known sides):

x = 359 - 240

x = 119

Therefore, the length of one of the unknown sides of the decagon is 119 meters.

Expected answer: 76

Correct? No

Problem: A nonagon has side lengths of 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m and the total perimeter of the nonagon is 368m. What is the length of the final side?

CodeLlama 34B:

  Let's call the length of the final side x.

We know that the total perimeter of the nonagon is 368m, so we can set up the equation:

52 + 52 + 44 + 53 + 41 + 91 + 25 + x = 368

Simplifying the equation:

250 + x = 368

Subtracting 250 from both sides:

x = 118

So, the length of the final side is 118m.

Expected answer: 8

Correct? No

Problem: A regular octagon has a perimeter of 592cm. What is the length of one side?

CodeLlama 34B:

  To find the length of one side of a regular octagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = n x side length

where n is the number of sides and side length is the length of one side.

In this case, the perimeter is 592 cm and the number of sides is 8, so we can set up the equation:

592 = 8 x side length

To solve for the side length, we can divide both sides by 8:

74 = side length

Therefore, the length of one side of the regular octagon is 74 cm.

Expected answer: 74

Correct? Yes

Problem: A regular heptagon has a perimeter of 245m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular heptagon, we can use the formula for the perimeter of a regular polygon, which is:

Perimeter = (n x side length)

where n is the number of sides and side length is the length of each side.

In this case, the perimeter is given as 245m, and we know that a regular heptagon has 7 sides. So, we can substitute these values into the formula to get:

245m = (7 x side length)

Now, we can solve for side length by dividing both sides of the equation by 7:

side length = 245m / 7

side length = 35m

Therefore, the length of each side of the regular heptagon is 35m.

Expected answer: 35

Correct? Yes

Problem: A regular decagon has a perimeter of 140m. What is the length of each side?

CodeLlama 34B:

  To find the length of each side of a regular decagon, we can use the formula for the perimeter of a regular polygon:

Perimeter = number of sides x side length

In this case, the perimeter is 140m, and the number of sides is 10 (since a decagon has 10 sides). So, we can set up the equation:

140 = 10 x side length

To solve for the side length, we can divide both sides by 10:

side length = 140 / 10

side length = 14

Therefore, the length of each side of the regular decagon is 14 meters.

Expected answer: 14

Correct? Yes

Problem: A polygon has side lengths of 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm. If the total perimeter of the polygon is 655cm. What is the length of its 11th side?

CodeLlama 34B:

  Let's call the length of the 11th side "x" cm.

We know that the total perimeter of the polygon is 655 cm, so we can set up the equation:

44 + 5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 655

Simplifying the equation:

44 + 5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 655

Combine like terms:

44 + 5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 655

Subtract 44 from both sides:

5 + 96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 611

Subtract 5 from both sides:

96 + 78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 606

Subtract 96 from both sides:

78 + 49 + 84 + 72 + 74 + 21 + 39 + x = 510

Subtract 78 from both sides:

49 + 84 + 72 + 74 + 21 + 39 + x = 431

Subtract 49 from both sides:

84 + 72 + 74 + 21 + 39 + x = 382

Subtract 84 from both sides:

72 + 74 + 21 + 39 + x = 267

Subtract 72 from both sides:

74 + 21 + 39 + x = 178

Subtract 74 from both sides:

21 + 39 + x = 157

Subtract 21 from both sides:

39 + x = 136

Subtract 39 from both sides:

x = 97

Therefore, the length of the 11th side of the polygon is 97 cm.

Expected answer: 93

Correct? No

Problem: A polygon has sides that measure 69m, 81m, 34m, 35m, and 38m respectively. If the polygon's total perimeter is 265m, what is the length of the remaining side?

CodeLlama 34B:

  Let's call the length of the remaining side x.

We know that the perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter is 265m, and we know the lengths of four of the sides: 69m, 81m, 34m, and 35m.

So, we can set up the following equation:

69 + 81 + 34 + 35 + x = 265

Simplifying the equation:

265 - 69 - 81 - 34 - 35 = x

Solving for x:

x = 265 - 69 - 81 - 34 - 35
= 265 - 255
= 10

Therefore, the length of the remaining side is 10m.

Expected answer: 8

Correct? No

Problem: A pentagon has four of its side lengths as 22m, 14m, 93m, and 75m respectively. If its total perimeter is 234m, find the length of the fifth side.

CodeLlama 34B:

  Let's call the length of the fifth side x.

We know that the perimeter of a polygon is the sum of the lengths of all its sides. In this case, we can set up the equation:

22 + 14 + 93 + 75 + x = 234

Simplifying the equation:

194 + x = 234

Subtracting 194 from both sides:

x = 40

So, the length of the fifth side is 40 meters.

Expected answer: 30

Correct? No