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?

Gemma 2B:

Reasoning: The remaining measurement is 368 - 41 - 28 - 90 - 32 - 10 - 98 = 180.
### Answer: 180

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?

Gemma 2B:

Reasoning: The perimeter of a pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 300 = 5s.
Solving for s, we get s = 60cm.
### Answer: 60

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?

Gemma 2B:

Reasoning: The perimeter of a regular nonagon is given by the formula: P = 9s, where P is the perimeter and s is the length of a side.
Substituting the values into the formula, we get: 521 = 9s.
Solving for s, we get: s = 521/9 = 58.9.
Therefore, the length of the ninth side is 58.9cm.

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 54+51+5+22+93 = 274.
Solving for the sixth side, we get 54+51+5 = 274.
The length of the sixth side is 93cm.

Expected answer: 49

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 310 = 5s.
Solving for s, we get s = <<310/5=62>>62 m.
### Answer: 62

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 78+93+21+4+21 = 315cm.
The length of the last side is 21cm.

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?

Gemma 2B:

Reasoning: The perimeter of an 8-sided polygon is given by the formula P = 8s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 160 = 8s.
Dividing both sides by 8, we get s = 20.
### Answer: 20

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?

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 2(s + 7s), where s is the length of one side.
Substituting the values, we get 2(6 + 7s) = 224.
Solving for s, we get 6 + 7s = 112, or 7s = 106, or s = 14.
Therefore, the length of the other side is 14cm.

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?

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 174 = 6s.
Dividing both sides by 6, we get s = <<174/6=29.6>>29.6 meters.
### Answer: 29.6

Expected answer: 29

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a dodecagon is given by the formula P = 11s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 538 = 11s.
Solving for s, we get s = 48.

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?

Gemma 2B:

Reasoning: The last side should be 357 - 61 = <<357-61=396>>396 cm.

Expected answer: 50

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 544 = 4s.
Solving for s, we get s = 136.
### Answer: 136

Expected answer: 68

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular decagon is given by the formula 960 = 10s, where s is the length of one side.
Solving for s, we get s = 960/10 = <<960/10=96>>96.
### Answer: 96

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?

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 203 = 7(s).
Solving for s, we get s = 203/7 = 29.14.
### Answer: 29.14

Expected answer: 29

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 49 = 7(s).
Solving for s, we get s = 49/7 = 7 meters.
### Answer: 7

Expected answer: 7

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 329 = 7s.
Solving for s, we get s = 48.

Expected answer: 47

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 486 = 7s.
Solving for s, we get s = 486/7 = 68m.
The length of the sixth side is 68m.

Expected answer: 81

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 546 = 7s.
Solving for s, we get s = 546/7 = 78.
### Answer: 78

Expected answer: 78

Correct? Yes

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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 9s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 532 = 9s.
Solving for s, we get s = 532/9 = 58cm.
### Answer: 58cm

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?

Gemma 2B:

Reasoning: The perimeter of a decagon is given by the formula P = 10s, where P is the perimeter, s is the length of a side.
Substituting the values, we get 452 = 10s.
Dividing both sides by 10, we get s = <<452 ÷ 10=45.2>>45.2.
The length of the unknown side is 45.2m.

Expected answer: 12

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 78 = 6s.
Solving for s, we get s = <<78 ÷ 6=13>>13.
Therefore, the length of each side of the regular hexagon is 13m.

Expected answer: 13

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 171 = 9(s).
Dividing both sides by 9, we get s = <<171/9=19.11>>19.11.
### Answer: 19.11m

Expected answer: 19

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 3(s + 7), where s is the length of the unknown side.
Substituting the values, we get 3(8 + 7) = 3(15) = 45 cm.
Therefore, the length of the unknown side is 45 cm.

Expected answer: 37

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n*s, where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 858 = 11*s.
Solving for s, we get s = 858 ÷ 11 = <<78>>78.
### Answer: 78

Expected answer: 78

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular decagon is given by the formula 360 = 10a, where a is the length of each side.
Substituting a = 360/10, we get a = 36.
Therefore, the length of each side of the regular decagon is 36m.

Expected answer: 36

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 522 = 6s.
Dividing both sides by 6, we get s = 87.
### Answer: 87

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.

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 418 = 11(s).
Dividing both sides by 11, we get s = <<418 ÷ 11=38>>38.
Therefore, the length of each side of the regular polygon is 38m.

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 56 + 73 + 39 + 24 + 26 = 278.
The length of the sixth side is 26m.

Expected answer: 60

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 385 = 5s.
Solving for s, we get s = <<385 ÷ 5>> = 77cm.
### Answer: 77cm

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?

Gemma 2B:

Reasoning: The perimeter of a regular polygon is equal to the sum of the lengths of its sides.
The perimeter of the polygon is 663m, and there are 11 sides.
Therefore, the length of the unknown eleventh side is 663m ÷ 11 = <<663m ÷ 11=61m>>.

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?

Gemma 2B:

Reasoning: The perimeter of a decagon with n sides is given by the formula P = n(n+1)/2.
Substituting n = 10 in the formula, we get P = 10(10+1)/2 = 55m.
Therefore, 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?

Gemma 2B:

Reasoning: The perimeter of a regular octagon is given by the formula P = 8s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 248 = 8s.
Dividing both sides by 8, we get s = 32.
### Answer: 32

Expected answer: 31

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 390 = 5s.
Solving for s, we get s = <<390/5=78>>78.
Therefore, the length of each side of the 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.

Gemma 2B:

Reasoning: The perimeter of a decagon is given by the formula P = 10s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 522 = 10s.
Therefore, s = 522 ÷ 10 = 52.2m.
The length of the tenth side is 52.2m.

Expected answer: 22

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 408 = 4s.
Dividing both sides by 4, we get s = <<102>>102.
Therefore, the length of each side of the regular octagon is 102m.

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?

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 696 = 4s.
Dividing both sides by 4, we get s = <<164>>164.
### Answer: 164

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?

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 744 = 4s.
Dividing both sides by 4, we get s = <<744/4=186>>186.
Therefore, the length of each side of the octagon is 186m.

Expected answer: 93

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of one side.
Substituting the values, we get 270 = 9(s).
Dividing both sides by 9, we get s = <<270/9=30>>30.
### Answer: 30m

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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula: P = 3s, where P is the perimeter, s is the length of a side.
Substituting the values into the formula, we get: 350 = 3s.
Solving for s, we get: s = 120cm.
### Answer: 120cm

Expected answer: 30

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 9s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 188 = 9s.
Therefore, s = 20.
The length of the ninth side is 20m.

Expected answer: 19

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 90 = 6s.
Solving for s, we get s = 15.
### Answer: 15

Expected answer: 15

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 287 = 7s.
Solving for s, we get s = 41.

Expected answer: 41

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5a, where P is the perimeter and a is the length of each side.
Substituting the values, we get 50 = 5a, which gives a = 10.
Therefore, the length of each side of the pentagon is 10m.

Expected answer: 10

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 63 = 9(s).
Dividing both sides by 9, we get s = 7.
### Answer: 7m

Expected answer: 7

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 3s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 354 = 3s.
Solving for s, we get s = <<354/3>> = 118.
### Answer: 118

Expected answer: 59

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 59+16+15+35+89+16+43+7 = 286.
The length of the last unknown side is 43m.

Expected answer: 6

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 616 = 7s.
Solving for s, we get s = 84.

Expected answer: 88

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 36 = 6s.
Dividing both sides by 6, we get s = <<36/6=6>>6.
Therefore, the length of each side of the regular hexagon is 6m.

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?

Gemma 2B:

Reasoning: The perimeter of a dodecagon is given by the formula P = 11s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 492 = 11s.
Dividing both sides by 11, we get s = <<492/11>> cm.
The length of the twelfth side is 47cm.

Expected answer: 30

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 3s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 306 = 3s.
Dividing both sides by 3, we get s = <<306/3=102>>102.
Therefore, the length of each side of the regular hexagon is 102m.

Expected answer: 51

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 238 = 7(s).
Solving for s, we get s = 238 ÷ 7 = 34 meters.
### Answer: 34

Expected answer: 34

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 42 = 6s.
Dividing both sides by 6, we get s = <<42/6=7>>7 meters.
### Answer: 7m

Expected answer: 7

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 624 = 4s.
Solving for s, we get s = 156.
### Answer: 156

Expected answer: 78

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 17m + 13m + 61m + 16m + 11m + 83m + 28m + 48m + 93m = 468.
Solving for the tenth side, we get 17m + 13m + 61m + 16m + 11m + 83m + 28m + 48m + 93m = 468.
Combining like terms, we get 200m = 468.
Therefore, the length of the tenth side is 468 ÷ 200 = 2.34 meters.

Expected answer: 98

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 380 = 5s.
Solving for s, we get s = <<380/5=76>>76.
Therefore, the length of each side of the pentagon is 76m.

Expected answer: 76

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 104 = 4s.
Solving for s, we get s = 26 cm.
### Answer: 26

Expected answer: 13

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 637 = 7s.
Solving for s, we get s = 91.1m.

Expected answer: 91

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 35 = 5s.
Solving for s, we get s = 7m.
### Answer: 7m

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?

Gemma 2B:

Reasoning: The perimeter of a pentagon is given by the formula P = 2(a + b + c + d + e), where a, b, c, d, and e are the lengths of its sides.
Substituting the values, we get 223 = 2(45 + 93 + 36 + 22).
Solving for e, we get e = 223 - 2(45 + 93 + 36 + 22) = 223 - 2(133) = 223 - 266 = 97.
### Answer: 97

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 75+81+22+94+91+10 = 423.
The length of the last unknown side is 423 - 75 - 81 - 94 - 91 - 10 = 108cm.

Expected answer: 50

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular decagon is given by the formula P = n(s), where n is the number of sides and s is the length of each side.
Substituting n = 10 and P = 600 into the formula, we get s = P/n = 600/10 = 60m.
### Answer: 60

Expected answer: 60

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 632 = 4s.
Solving for s, we get s = 158.
### Answer: 158

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?

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 161 = 7(s).
Therefore, the length of each side is 161/7 = 22.5m.

Expected answer: 23

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 96 = 6s.
Dividing both sides by 6, we get s = 16.
### Answer: 16

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.

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 5(s-a), where P is the perimeter, s is the length of a side and a is the length of the longest side.
Substituting the values, we get 402 = 5(s-97).
Solving for s, we get s = 402/5 + 97 = 84 + 97 = 181m.
### Answer: 181

Expected answer: 8

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 385 = 7s.
Solving for s, we get s = 55.
### Answer: 55

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?

Gemma 2B:

Reasoning: The perimeter is the sum of the lengths of all sides.
Therefore, 358 = 89 + 2 + 10 + 48 + 94.
The remaining side is 59 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?

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 496 = 4s.
Dividing both sides by 4, we get s = <<496/4=124>>124.
Therefore, the length of each side of the octagon is 124m.

Expected answer: 62

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 8s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 800 = 8s.
Dividing both sides by 8, we get s = 100.
### Answer: 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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 9s, where P is the perimeter and s is the side length.
Substituting the values, we get 702 = 9s.
Solving for s, we get s = <<702 ÷ 9>> = 77.78 m.
### Answer: 77.78

Expected answer: 78

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular nonagon is given by the formula P = 9s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 855 = 9s.
Solving for s, we get s = 95.
### Answer: 95

Expected answer: 95

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of a side.
Substituting the values, we get 504 = 7(s).
Dividing both sides by 7, we get s = 72.
### Answer: 72

Expected answer: 72

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 657 = 9(s).
Dividing both sides by 9, we get s = <<657/9=72.22>>72.22.
### Answer: 72.22m

Expected answer: 73

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular octagon is given by the formula P = 8s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 48 = 8s.
Solving for s, we get s = 6 cm.
### Answer: 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?

Gemma 2B:

Reasoning: The perimeter of a polygon is the sum of the lengths of all its sides.
Perimeter = 28m + 37m + 51m + 84m + 54m + 31m + 94m + 12m = 399m.
Therefore, the length of the remaining unknown side is 399m - 28m - 37m - 51m - 84m - 54m - 31m - 94m - 12m = 12m.
### Answer: 12m

Expected answer: 8

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of one side.
Substituting the values, we get 342 = 9(s).
Dividing both sides by 9, we get s = <<342 ÷ 9=39.11>>39.11.
### Answer: 39.11m

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?

Gemma 2B:

Reasoning: The perimeter of a polygon with 8 sides is given by the formula P = 2(s1 + s2 + s3 + ... + s8), where s1, s2, s3, ..., s8 are the side lengths of the polygon.
Substituting the values, we get 330 = 2(7 + 59 + 49 + 38 + 53 + 21 + 34).
Solving for s8, we get s8 = 330 - 2(7 + 59 + 49 + 38 + 53 + 21 + 34) = 330 - 2(196) = 330 - 392 = 338.
### Answer: 338

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?

Gemma 2B:

Reasoning: The perimeter of a decagon is given by the formula P = 10s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 682 = 10s.
Solving for s, we get s = 682/10 = 68.2m.
The length of the tenth side is 68.2m.

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?

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 161 = 7(s).
Therefore, the length of each side is 161/7 = 22.5m.

Expected answer: 23

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 3s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 324 = 3s.
Solving for s, we get s = 108.
### Answer: 108

Expected answer: 54

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 385 = 5s.
Solving for s, we get s = <<385 ÷ 5>> = 77.0.
### Answer: 77.0

Expected answer: 77

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = nS, where P is the perimeter, n is the number of sides, and S is the length of each side.
Substituting the values, we get 245 = 7 x S.
Therefore, S = 245 ÷ 7 = 35m.

Expected answer: 35

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 25 = 5s.
Solving for s, we get s = 5.

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.

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of a side.
Substituting the values, we get 380 = 6s.
Solving for s, we get s = 60.
### Answer: 60

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?

Gemma 2B:

Reasoning: The perimeter of an irregular polygon is equal to the sum of the lengths of all its sides.
Therefore, 23m + 67m + 57m + 94m + 93m + 18m + 30m = 419m.
Solving for the missing side, we get 23m + 67m + 57m = 419m - 18m = 401m.
Therefore, the length of the missing side is 401m.

Expected answer: 37

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 287 = 7s.
Solving for s, we get s = 41.

Expected answer: 41

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular pentagon is given by the formula P = 5s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 55 = 5s.
Solving for s, we get s = 11m.
### Answer: 11m

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?

Gemma 2B:

Reasoning: The perimeter of a regular polygon is given by the formula P = n(s), where P is the perimeter, n is the number of sides, and s is the length of each side.
Substituting the values, we get 657 = 9(s).
Dividing both sides by 9, we get s = <<657/9=72>>72 meters.
### Answer: 72

Expected answer: 73

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular hexagon is given by the formula P = 6s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 78 = 6s.
Solving for s, we get s = <<78 ÷ 6=13>>13.
Therefore, the length of each side of the regular hexagon is 13m.

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?

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 600 = 4s.
Solving for s, we get s = 150.
### Answer: 150

Expected answer: 75

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 39+26+47+52+66+17+34 = 356.
The length of the last side is 356 - 39 = <<356-39=317>>317m.

Expected answer: 75

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular decagon is given by the formula P = 10s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 930 = 10s.
Dividing both sides by 10, we get s = <<930/10=93>>cm.
### Answer: 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?

Gemma 2B:

Reasoning: The perimeter of a decagon is given by the formula P = 2(s + s + 2s + 2s + 2s + s).
Substituting the values, we get 359 = 2(s + 8s + 4s).
Simplifying the equation, we get 359 = 18s.
Dividing both sides by 18, we get s = <<359/18=20.25>>20.25.
### Answer: 20.25

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?

Gemma 2B:

Reasoning: The perimeter of a nonagon is given by the formula P = 3(s), where P is the perimeter and s is the length of a side.
Substituting the values, we get 3(52) = 3(52) = 156.
Therefore, the length of the final side is 156m.

Expected answer: 8

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of an octagon is given by the formula P = 4s, where P is the perimeter and s is the length of one side.
Substituting the values, we get 592 = 4s.
Solving for s, we get s = 148cm.
### Answer: 148

Expected answer: 74

Correct? No

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

Gemma 2B:

Reasoning: The perimeter of a regular heptagon is given by the formula P = 7s, where P is the perimeter and s is the length of each side.
Substituting the values, we get 245 = 7s.
Solving for s, we get s = 35.
### Answer: 35

Expected answer: 35

Correct? Yes

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

Gemma 2B:

Reasoning: The perimeter of a regular decagon is given by the formula P = 140, where P is the perimeter.
The perimeter of a regular decagon is equal to the sum of the lengths of all its sides.
Therefore, the length of each side of the regular decagon is given by the formula s = P/12, where s is the length of each side and P is the perimeter.
Substituting the value of P = 140 into the formula, we get s = 140/12 = <<140/12=12.5>>12.5 side length.

Expected answer: 14

Correct? No

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 44+5+96+78+49+84+72+74+21+39 = 655.
The 11th side has a length of 39cm.
### Answer: 39

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?

Gemma 2B:

Reasoning: The perimeter of a polygon is equal to the sum of the lengths of all its sides.
Therefore, 69m + 81m + 34m + 35m + 38m = 265m.
Solving for the remaining side, we get 35m = 265m - 69m - 81m - 34m - 35m = 100m.
### Answer: 100m

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.

Gemma 2B:

Reasoning: The perimeter of a pentagon is given by the formula P = 2(s1 + s2 + s3 + s4 + s5), where s1, s2, s3, s4, and s5 are the lengths of the five sides.
Substituting the values, we get 234 = 2(22 + 14 + 93 + 75 + s5).
Solving for s5, we get 234 = 2(367) + s5.
Therefore, s5 = 234 - 734 = 1010.

Expected answer: 30

Correct? No