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CodeLlama 7B on 3.MD.D.8-quadrilateral

Common Core Standard 3.MD.D.8-quadrilateral

This standard covers the following:

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

🔗 Problem

Problem: The perimeter of a rectangular swimming pool is 324 meters. The length of the pool is 83 meters. What is the width of the pool?

CodeLlama 7B:

  To find the width of the pool, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

In this case, the perimeter is 324 meters, and the length is 83 meters. So, we can set up the equation:

2(l + w) = 324

To solve for w, we can first solve for l:

l = 324 - 2w

Now, we can substitute this expression for l into the original equation:

2(324 - 2w) = 324

Expanding and simplifying, we get:

2(324) = 324

So, w = 112 meters.

Therefore, the width of the pool is 112 meters.

Expected answer: 79

Correct? No

🔗 Problem

Problem: A square has a perimeter of 40m. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 40m.

So, we can set up the equation:

4s = 40

To solve for s, we can divide both sides of the equation by 4:

s = 40/4

s = 10

Therefore, the length of each side of the square is 10m.

Expected answer: 10

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 344m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 344m.

So, we can set up the equation:

4s = 344

To solve for s, we can divide both sides of the equation by 4:

s = 344/4

s = 86m

Therefore, the length of each side of the square is 86m.

Expected answer: 86

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 348m. What would be the length of each side of the square?

CodeLlama 7B:

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

Perimeter = 4s

where s is the length of each side.

We are given that the perimeter of the square is 348m. Plugging this value into the formula, we get:

348 = 4s

Solving for s, we get:

s = 348/4

s = 86m

Therefore, the length of each side of the square is 86m.

Expected answer: 87

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 194 cm. The length of one of its sides is 49 cm. Can you determine the length of its other side?

CodeLlama 7B:

  Yes, I can determine the length of the other side of the rectangle.

The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Since the perimeter of the rectangle is 194 cm, we can set up the equation:

49 + x + x + x = 194

Where x is the length of the other side of the rectangle.

Simplifying the equation, we get:

4x + 49 = 194

Subtracting 49 from both sides, we get:

4x = 145

Dividing both sides by 4, we get:

x = 36

Therefore, the length of the other side of the rectangle is 36 cm.

Expected answer: 48

Correct? No

🔗 Problem

Problem: A square has a perimeter of 192m. What is the length of one side?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 192m, we can set up the equation:

4s = 192

To solve for s, we can divide both sides of the equation by 4:

s = 192/4

s = 48

Therefore, the length of one side of the square is 48m.

Expected answer: 48

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 68cm. What is the length of one side?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 68cm, we can set up the equation:

4s = 68

To solve for s, we can divide both sides of the equation by 4:

s = 68/4

s = 17

Therefore, the length of one side of the square is 17cm.

Expected answer: 17

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 52 meters. If one of the sides measures 4 meters, how long is the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 52 meters, so we can write:

x + x + 4 + 4 = 52

Simplifying the equation:

2x + 8 = 52

Subtracting 8 from both sides:

2x = 44

Dividing both sides by 2:

x = 22

So the length of the other side is 22 meters.

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 229m. Two sides of the quadrilateral have lengths of 93m and 98m respectively. The third side of the quadrilateral is 36m long. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral, which is:

P = a + b + c + d

where a, b, c, and d are the lengths of the four sides of the quadrilateral.

We are given that the perimeter of the quadrilateral is 229m, and we can set up the equation:

229 = a + b + c + d

We are also given that two sides of the quadrilateral have lengths of 93m and 98m, so we can write:

a = 93
b = 98

We can substitute these values into the equation for the perimeter:

229 = 93 + 98 + c + d

Simplifying the equation, we get:

136 = c + d

We are also given that the third side of the quadrilateral is 36m long, so we can write:

c = 36

Substituting this value into the equation for the perimeter, we get:

136 = 36 + d

Simplifying the equation, we get:

100 = d

Therefore, the length of the fourth side of the quadrilateral is 100m.

### Answer: 100

Expected answer: 2

Correct? No

🔗 Problem

Problem: The perimeter of a square is 16m. What is the length of each side of this square?

CodeLlama 7B:

  The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter of the square is 16m, we can set up the equation:

4s = 16

where s is the length of each side.

Solving for s, we get:

s = 16/4
s = 4

Therefore, the length of each side of the square is 4m.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 272m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 272m.

4s = 272

s = 272/4

s = 68m

Therefore, the length of each side of the square is 68m.

Expected answer: 68

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 244m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 244m, we can set up the equation:

4s = 244

Solving for s, we get:

s = 244/4

s = 61m

Therefore, the length of each side of the square is 61m.

Expected answer: 61

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 227m. The lengths of three of its sides are 70m, 29m, and 61m. What is the length of the fourth side of the quadrilateral?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral, which is:

P = a + b + c + d

where a, b, c, and d are the lengths of the four sides of the quadrilateral.

We are given that the perimeter of the quadrilateral is 227m, so we can set up the equation:

227 = a + b + c + d

We also know that the lengths of the three sides are 70m, 29m, and 61m, so we can write:

a + b + c = 70 + 29 + 61 = 170

Now we can solve for d:

d = 227 - a - b - c
= 227 - 170
= 57

So the length of the fourth side of the quadrilateral is 57m.

Expected answer: 67

Correct? No

🔗 Problem

Problem: A square has a perimeter of 280m. What is the length of the side of that square?

CodeLlama 7B:

  To find the length of the side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of the side.

Given that the perimeter of the square is 280m, we can set up the equation:

4s = 280

To solve for s, we can divide both sides of the equation by 4:

s = 280/4

s = 70

Therefore, the length of the side of the square is 70m.

Expected answer: 70

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 219cm. Two of its sides have lengths of 37cm and 98cm, and a third side is known to be 41cm. How long is the fourth side?

CodeLlama 7B:

  Let's use the fact that the perimeter of a quadrilateral is equal to the sum of the lengths of all its sides.

Perimeter = 37 + 98 + 41 + x

where x is the length of the fourth side.

We are given that the perimeter is 219, so we can set up the equation:

37 + 98 + 41 + x = 219

Simplifying the equation, we get:

x = 219 - 37 - 98 - 41

x = 219 - 176

x = 43

So the length of the fourth side is 43cm.

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 44m. Can you calculate the length of one side?

CodeLlama 7B:

  Yes, I can calculate the length of one side of the square.

The perimeter of a square is equal to the sum of the lengths of all its sides. Since the perimeter of the square is 44m, we can set up the equation:

4 + 4 + 4 + 4 = 44

Solving for the length of one side, we get:

4 + 4 + 4 + 4 = 44
4(1 + 1 + 1 + 1) = 44
4(4) = 44
16 = 44

So, the length of one side of the square is 16 meters.

Expected answer: 11

Correct? No

🔗 Problem

Problem: A rectangular garden has a perimeter of 282 meters. The longer side measures 71 meters. What is the length of the shorter side?

CodeLlama 7B:

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

We know that the perimeter of the garden is 282 meters, so the sum of the lengths of the two sides is equal to the perimeter:

x + 71 = 282

We can solve for "x" by subtracting 71 from both sides of the equation:

x = 282 - 71

x = 181

So the length of the shorter side is 181 meters.

Expected answer: 70

Correct? No

🔗 Problem

Problem: A rectangular garden has a total perimeter of 128 meters. If the shorter side of the garden has a length of 57 meters, how long is the other side?

CodeLlama 7B:

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

We know that the perimeter of the garden is 128 meters, so we can write:

x + x + 57 + 57 = 128

Simplifying the equation:

2x + 57 = 128

Subtracting 57 from both sides:

2x = 61

Dividing both sides by 2:

x = 30.5 meters

So the other side of the garden is 30.5 meters long.

Expected answer: 7

Correct? No

🔗 Problem

Problem: A square has a perimeter of 392m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 392m.

So, we can set up the equation:

4s = 392

To solve for s, we can divide both sides of the equation by 4:

s = 392/4

s = 96

Therefore, the length of each side of the square is 96m.

Expected answer: 98

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 204m. If one of its sides has a length of 16m, what is the length of the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 204m, so we can write:

2x + 2x = 204

Simplifying the equation:

4x = 204

Dividing both sides by 4:

x = 51

So the length of the other side is 51m.

Expected answer: 86

Correct? No

🔗 Problem

Problem: A square has a perimeter of 336cm. What is the length of one of its sides?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 336cm, we can set up the equation:

4s = 336

To solve for s, we can divide both sides of the equation by 4:

s = 336/4

s = 84

Therefore, the length of one side of the square is 84cm.

Expected answer: 84

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 144 meters. What is the length of one side of the square?

CodeLlama 7B:

  To find the length of one side of the square, we can use the formula for the perimeter of a square, which is 4 times the length of one side.

Perimeter = 4 x Side Length

We are given that the perimeter of the square is 144 meters, so we can set up the equation:

144 = 4 x Side Length

Solving for Side Length, we get:

Side Length = 144 / 4

Side Length = 36 meters

Therefore, the length of one side of the square is 36 meters.

Expected answer: 36

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 236 cm. Two of its sides measure 69 cm and 50 cm respectively, and a third side measures 39 cm. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter of the quadrilateral is 236 cm, so we can set up the equation:

236 = a + b + c + d

We also know that two of the sides measure 69 cm and 50 cm, so we can write:

236 = 69 + 50 + c + d

We also know that the third side measures 39 cm, so we can write:

236 = 69 + 50 + 39 + d

Now we have three equations and four unknowns. We can solve for d by subtracting the first two equations from the third:

d = 236 - 69 - 50 = 39

So the length of the fourth side is 39 cm.

Expected answer: 78

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 193cm. Two of its sides measure 37cm and 14cm, while the other two sides measure 73cm and an unknown length. What is the length of the side of the quadrilateral that is unknown?

CodeLlama 7B:

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

We know that the perimeter of the quadrilateral is 193cm, so we can write:

x + 37 + 14 + 73 = 193

Simplifying the equation:

2x + 90 = 193

Subtracting 90 from both sides:

2x = 103

Dividing both sides by 2:

x = 51.5cm

So the length of the side of the quadrilateral that is unknown is 51.5cm.

Expected answer: 69

Correct? No

🔗 Problem

Problem: A square has a perimeter of 160m. What is the length of one of its sides?

CodeLlama 7B:

  The perimeter of a square is equal to 4 times the length of its side.

So, if the perimeter of the square is 160m, we can set up the equation:

4s = 160

where s is the length of one side of the square.

Solving for s, we get:

s = 160/4

s = 40

So, the length of one side of the square is 40 meters.

Expected answer: 40

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 228 meters. The length of the rectangle is 90 meters. What is the width of the rectangle?

CodeLlama 7B:

  To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

In this case, the perimeter is 228 meters, and the length is 90 meters. So, we can set up the equation:

2(l + w) = 228

Simplifying the equation, we get:

2l + 2w = 228

Subtracting 2l from both sides gives us:

2w = 228 - 2l

Dividing both sides by 2 gives us:

w = (228 - 2l) / 2

Since we are given that the perimeter is 228 meters, we can set up the equation:

2l + 2w = 228

Substituting the expression for w into this equation, we get:

2l + (228 - 2l) / 2 = 228

Simplifying the equation, we get:

2l + 114 = 228

Subtracting 2l from both sides gives us:

114 = 228 - 2l

Dividing both sides by 2 gives us:

57 = 2l

Since we are given that the length is 90 meters, we can set up the equation:

2l = 90

Solving for w, we get:

w = (228 - 2l) / 2

w = (228 - 90) / 2

w = 138 / 2

w = 69 meters

Therefore, the width of the rectangle is 69 meters.

Expected answer: 24

Correct? No

🔗 Problem

Problem: The perimeter of a square field is 136 meters. Given that all sides are equal in a square, What is the length of one side of the field?

CodeLlama 7B:

  The perimeter of a square is equal to the length of all four sides, so the perimeter of the field is 4 times the length of one side.

We know that the perimeter of the field is 136 meters, so we can set up the equation:

4x = 136

where x is the length of one side of the field.

Now, divide both sides of the equation by 4 to solve for x:

x = 136/4

x = 34

So, the length of one side of the field is 34 meters.

Expected answer: 34

Correct? Yes

🔗 Problem

Problem: A rectangle has a total perimeter of 236 meters. If one side of the rectangle is 43 meters, can you determine the length of the opposite side?

CodeLlama 7B:

  Yes, I can determine the length of the opposite side.

The perimeter of a rectangle is equal to the sum of the lengths of all four sides. Since the perimeter of the rectangle is 236 meters, we can set up the equation:

43 + x + x + x = 236

Where x is the length of the opposite side.

Simplifying the equation, we get:

43 + 3x = 236

Subtracting 43 from both sides gives us:

3x = 193

Dividing both sides by 3 gives us:

x = 61

Therefore, the length of the opposite side is 61 meters.

Expected answer: 75

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 206m. Two of its sides together have a length of 58m, and the other two sides together have a length of 54m and 1m, respectively. What is the length of the missing portion of the perimeter?

CodeLlama 7B:

  Let's call the length of the missing portion of the perimeter "x".

We know that the perimeter of the quadrilateral is 206m, so we can write:

x + 58m + 54m + 1m = 206m

Simplifying the equation:

x + 112m = 206m

Subtracting 112m from both sides:

x = 94m

So the length of the missing portion of the perimeter is 94m.

Expected answer: 93

Correct? No

🔗 Problem

Problem: A square field has a total perimeter of 284 meters. How long is each side of the square field?

CodeLlama 7B:

  To find the length of each side of the square field, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the total perimeter of the square field is 284 meters, we can set up the equation:

4s = 284

Solving for s, we get:

s = 284/4

s = 76 meters

Therefore, each side of the square field is 76 meters long.

Expected answer: 71

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 150 feet. If the length of the rectangle is 69 feet, what is the width of the rectangle?

CodeLlama 7B:

  To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

Given that the perimeter of the rectangle is 150 feet, we can set up the equation:

2(l + w) = 150

To solve for w, we can first solve for l:

l = 150 - 2w

Now we can substitute this expression for l into the original equation:

2(150 - 2w) = 150

Expand and simplify:

300 - 4w = 150

Subtract 300 from both sides:

-4w = 50

Divide both sides by -4:

w = -12.5

So the width of the rectangle is -12.5 feet.

However, it's important to note that the width of a rectangle cannot be negative, so the correct answer is:

w = 12.5 feet.

Expected answer: 6

Correct? No

🔗 Problem

Problem: The perimeter of a rectangle is 166m. If one of the sides measures 35m, how long is the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 166m, so we can write:

x + x + 35 + 35 = 166

Simplifying the equation:

2x + 35 = 166

Subtracting 35 from both sides:

2x = 131

Dividing both sides by 2:

x = 65.5m

So the length of the other side is 65.5m.

Expected answer: 48

Correct? No

🔗 Problem

Problem: A square has a perimeter of 124m. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 124m, we can set up the equation:

4s = 124

Solving for s, we get:

s = 124/4

s = 31m

Therefore, the length of each side of the square is 31m.

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A rectangular field has a perimeter of 336 feet. The length of one of its sides is 79 feet. What is the length of the opposite side?

CodeLlama 7B:

  To find the length of the opposite side, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length of one side and w is the width of the rectangle.

In this case, the perimeter of the rectangle is 336 feet, and the length of one side is 79 feet. So we can plug these values into the formula to solve for the length of the opposite side:

2(l + w) = 336

Simplifying this equation, we get:

2l + 2w = 336

Subtracting 2w from both sides gives us:

2l = 336 - 2w

Dividing both sides by 2 gives us:

l = (336 - 2w) / 2

Now we can substitute the value of w that we know, which is 79 feet, into this equation:

l = (336 - 79) / 2

l = 257 / 2

l = 128 feet

So the length of the opposite side is 128 feet.

Expected answer: 89

Correct? No

🔗 Problem

Problem: A square plot of land has a perimeter of 132 meters. What is the length of one side of the square?

CodeLlama 7B:

  To find the length of one side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 132 meters, we can set up the equation:

4s = 132

Solving for s, we get:

s = 132/4

s = 33 meters

Therefore, the length of one side of the square is 33 meters.

Expected answer: 33

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 138 feet. If the length of the rectangle is 46 feet, what is the width of the rectangle?

CodeLlama 7B:

  To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

Given that the perimeter of the rectangle is 138 feet, we can set up the equation:

2(l + w) = 138

To solve for w, we can first solve for l:

l = (138 - 2w) / 2

Now we can substitute the expression for l into the original equation:

2(l + w) = 2((138 - 2w) / 2 + w)

Simplifying, we get:

2w = 138 - 2w

Solving for w, we get:

w = 79

So the width of the rectangle is 79 feet.

Expected answer: 23

Correct? No

🔗 Problem

Problem: A rectangular field has a total perimeter of 200 meters. The length of the field is known to be 49 meters. What is the width of the field in meters?

CodeLlama 7B:

  To find the width of the field, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

We are given that the perimeter is 200 meters, so we can set up the equation:

2(l + w) = 200

Simplifying the equation, we get:

l + w = 100

Now we can solve for w by subtracting l from both sides of the equation:

w = 100 - l

Since we are given that the length of the field is 49 meters, we can substitute this value into the equation:

w = 100 - 49

w = 51 meters

Therefore, the width of the field is 51 meters.

Expected answer: 51

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 200m. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 200m, we can set up the equation:

4s = 200

Solving for s, we get:

s = 50m

Therefore, the length of each side of the square is 50m.

Expected answer: 50

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 199m. The length of one side is 9m, the length of the second side is 30m, and the length of the third side is 71m. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 199m, so we can set up the equation:

a + b + c + d = 199

We also know that one side has a length of 9m, so we can write:

a = 9

We also know that the second side has a length of 30m, so we can write:

b = 30

We also know that the third side has a length of 71m, so we can write:

c = 71

Now we can substitute these values into the equation for the perimeter:

9 + 30 + 71 + d = 199

Simplifying the equation, we get:

160 + d = 199

Subtracting 160 from both sides gives us:

d = 39

So the length of the fourth side is 39m.

Expected answer: 89

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 207m. The lengths of three of its sides are 35m, 62m and 70m respectively. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter of the quadrilateral is 207m, so we can set up the equation:

a + b + c + d = 207

We also know that the lengths of the three sides are 35m, 62m, and 70m, so we can write:

a = 35
b = 62
c = 70

Now we can substitute these values into the equation for the perimeter:

35 + 62 + 70 + d = 207

Simplifying the equation, we get:

147 + d = 207

Subtracting 147 from both sides gives us:

d = 60

So the length of the fourth side is 60m.

Expected answer: 40

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 384cm. If one of the shorter sides of the rectangle is measured to be 99cm, what would be the length of the longer sides of the rectangle?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 384cm, so we can write:

x + x + 99 + 99 = 384

Simplifying the equation:

2x + 198 = 384

Subtracting 198 from both sides:

2x = 186

Dividing both sides by 2:

x = 93

So the length of the longer side of the rectangle is 93cm.

Expected answer: 93

Correct? Yes

🔗 Problem

Problem: A quadrilateral shape has a perimeter of 255 m. The first and the second sides have lengths of 78m and 15m respectively, while the third side has a length of 63m. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 255 m, so we can set up the equation:

a + b + c + d = 255

We also know that the first and second sides have lengths of 78m and 15m, so we can write:

a + b = 78 + 15 = 93

We also know that the third side has a length of 63m, so we can write:

c = 63

Now we can substitute these values into the first equation:

93 + d = 255

We can solve for d:

d = 255 - 93 = 162

So the length of the fourth side is 162m.

Expected answer: 99

Correct? No

🔗 Problem

Problem: A square has a perimeter of 128m. What is the length of one of its sides?

CodeLlama 7B:

  The perimeter of a square is equal to 4 times the length of its side.

So, if the perimeter of the square is 128m, we can set up the equation:

4s = 128

where s is the length of one side of the square.

Solving for s, we get:

s = 128/4

s = 32

So, the length of one side of the square is 32m.

Expected answer: 32

Correct? Yes

🔗 Problem

Problem: Imagine a rectangle with a perimeter of 96 feet. You know that one pair of opposite sides are each 33 feet long. Can you find the length of the other pair of opposite sides?

CodeLlama 7B:

  Yes, I can find the length of the other pair of opposite sides.

Let's call the length of one pair of opposite sides "x". Then, the perimeter of the rectangle is 96 feet, and one pair of opposite sides is 33 feet long. This means that the other pair of opposite sides is 96 - 33 = 63 feet long.

So, the length of the other pair of opposite sides is x + 63 = 96 feet.

Solving for x, we get:

x + 63 = 96
x = 33

So, the length of the other pair of opposite sides is 33 feet.

Expected answer: 15

Correct? No

🔗 Problem

Problem: The perimeter of a square field is 112 meters. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square field, we can use the formula for the perimeter of a square, which is:

Perimeter = 4 \* side length

We are given that the perimeter of the square field is 112 meters, so we can set up the equation:

4 \* side length = 112

To solve for the side length, we can divide both sides of the equation by 4:

side length = 112 / 4

side length = 28.5 meters

Therefore, the length of each side of the square field is 28.5 meters.

Expected answer: 28

Correct? No

🔗 Problem

Problem: The perimeter of a square is 32 cm. Can you find the length of one of its sides?

CodeLlama 7B:

  Yes, I can find the length of one of the sides of a square if I know the perimeter.

The formula for the perimeter of a square is:

Perimeter = 4 \* side length

So, if the perimeter is 32 cm, we can set up the equation:

4 \* side length = 32

Now, we can solve for the side length:

side length = 32 / 4

side length = 8

So, the length of one side of the square is 8 cm.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 364m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4 times the length of each side.

Perimeter = 4s

where s is the length of each side.

We are given that the perimeter of the square is 364m.

So, we can set up the equation:

364 = 4s

Solving for s, we get:

s = 364/4

s = 91m

Therefore, the length of each side of the square is 91m.

Expected answer: 91

Correct? Yes

🔗 Problem

Problem: The total perimeter of a rectangle is found to be 144 feet. The length of one side is known to be 38 feet. What is the length of the other side of the rectangle in feet?

CodeLlama 7B:

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

We know that the total perimeter of the rectangle is 144 feet, so we can write:

x + x + 38 + 38 = 144

Simplifying the equation:

2x + 38 = 144

Subtracting 38 from both sides:

2x = 106

Dividing both sides by 2:

x = 53

So the length of the other side of the rectangle is 53 feet.

Expected answer: 34

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 205m. Two of its sides add up to 54m and the other two sides add up to 22m and 37m respectively. What is the length of the remaining side to complete the perimeter?

CodeLlama 7B:

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

We know that the perimeter of the quadrilateral is 205m, so we can write:

x + 54m + 22m + 37m = 205m

Simplifying the equation:

2x + 89m = 205m

Subtracting 89m from both sides:

2x = 116m

Dividing both sides by 2:

x = 58m

So the length of the remaining side is 58m.

Expected answer: 92

Correct? No

🔗 Problem

Problem: The perimeter of a rectangular field is 174m. If the length of the field is 65m, what is the width of the field?

CodeLlama 7B:

  To find the width of the field, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

Given that the perimeter is 174m, we can set up the equation:

2(l + w) = 174

Simplifying the equation, we get:

2l + 2w = 174

Subtracting 2w from both sides gives us:

2l = 174 - 2w

Dividing both sides by 2 gives us:

l = (174 - 2w) / 2

Since we are given that the length is 65m, we can substitute this value into the equation:

l = (174 - 2w) / 2

Substituting 65 for l, we get:

(174 - 2w) / 2 = 65

Multiplying both sides by 2 gives us:

174 - 2w = 130

Adding 2w to both sides gives us:

174 = 130 + 2w

Subtracting 130 from both sides gives us:

2w = 44

Dividing both sides by 2 gives us:

w = 22

Therefore, the width of the field is 22m.

Expected answer: 22

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 176 cm. The lengths of three sides are 25 cm, 17 cm and 89 cm respectively. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter of the quadrilateral is 176 cm, so we can set up the equation:

176 = a + b + c + d

We also know that the lengths of the three sides are 25 cm, 17 cm, and 89 cm, so we can write:

a = 25
b = 17
c = 89

Now we can substitute these values into the equation for the perimeter:

176 = 25 + 17 + 89 + d

Simplifying the equation, we get:

176 = 127 + d

Solving for d, we get:

d = 176 - 127 = 59

So the length of the fourth side is 59 cm.

Expected answer: 45

Correct? No

🔗 Problem

Problem: A square has a perimeter of 372 meters. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 372 meters, we can set up the equation:

4s = 372

To solve for s, we can divide both sides of the equation by 4:

s = 372/4

s = 96

Therefore, the length of each side of the square is 96 meters.

Expected answer: 93

Correct? No

🔗 Problem

Problem: A square field has a perimeter of 240 meters. Can you find out the length of one side of the field?

CodeLlama 7B:

  Yes, I can find the length of one side of the field.

The perimeter of a square is equal to 4 times the length of its side.

So, if the perimeter of the field is 240 meters, we can set up the equation:

4s = 240

where s is the length of one side of the field.

Solving for s, we get:

s = 240 / 4

s = 60

So, the length of one side of the field is 60 meters.

Expected answer: 60

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangle is 242 meters. Knowing that one of the sides of this rectangle is 97 meters, can you determine the length of the other side?

CodeLlama 7B:

  Yes, I can determine the length of the other side.

The perimeter of a rectangle is equal to the sum of the lengths of all four sides. Since the perimeter is 242 meters, we can set up the equation:

4(97) + 4(?) = 242

where ? is the length of the other side.

Solving for ?, we get:

388 + 4(?)= 242

Subtracting 388 from both sides gives us:

4(?)-4 = 204

Dividing both sides by 4 gives us:

? = 52

Therefore, the length of the other side is 52 meters.

Expected answer: 24

Correct? No

🔗 Problem

Problem: Tom has constructed a square with a total perimeter of 316 meters. Can you determine the length of each side of this square?

CodeLlama 7B:

  Yes, I can determine the length of each side of the square.

To do this, we can use the formula for the perimeter of a square, which is:

Perimeter = 4 \* side length

We are given that the perimeter of the square is 316 meters, so we can set up the equation:

4 \* side length = 316

Now, we can solve for the side length by dividing both sides of the equation by 4:

side length = 316 / 4

side length = 84 meters

Therefore, the length of each side of the square is 84 meters.

Expected answer: 79

Correct? No

🔗 Problem

Problem: A square has a perimeter of 268cm. What is the length of each side of the square?

CodeLlama 7B:

  Let's call the length of each side of the square "x".

We know that the perimeter of the square is 268cm.

Perimeter = 4(x)

So, we can set up the equation:

4x = 268

To solve for x, we can divide both sides by 4:

x = 268/4

x = 66

So, the length of each side of the square is 66cm.

Expected answer: 67

Correct? No

🔗 Problem

Problem: A square has a perimeter of 348m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 348m.

So, we can set up the equation:

4s = 348

To solve for s, we can divide both sides of the equation by 4:

s = 348/4

s = 84

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

Expected answer: 87

Correct? No

🔗 Problem

Problem: A square has a perimeter of 400m. What is the length of one of its sides?

CodeLlama 7B:

  The perimeter of a square is equal to the sum of the lengths of all its sides. Since the perimeter of the square is 400m, we can set up the equation:

4s = 400

where s is the length of one side of the square.

Solving for s, we get:

s = 400/4

s = 100

Therefore, the length of one side of the square is 100m.

Expected answer: 100

Correct? Yes

🔗 Problem

Problem: A quadrilateral has sides with lengths of 81m, 100m, and 19m. If its perimeter is 243m, what is the length of the fourth side?

CodeLlama 7B:

  Let's start by using the perimeter formula: P = a + b + c + d

We know that the perimeter of the quadrilateral is 243m, so we can set up the equation:

243 = 81 + 100 + 19 + d

Now we can solve for d:

d = 243 - 81 - 100 - 19
d = 243 - 180
d = 63

So the length of the fourth side is 63m.

Expected answer: 43

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 186cm. If one of its sides is 50cm long, how long is the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 186cm, so we can write:

x + x + 50 + 50 = 186

Simplifying the equation:

2x + 50 = 186

Subtracting 50 from both sides:

2x = 136

Dividing both sides by 2:

x = 68

So the length of the other side is 68cm.

Expected answer: 43

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 224 cm. If the length of one of its sides is 78 cm, what is the length of the adjacent side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 224 cm, so we can write:

x + x + 78 + 78 = 224

Simplifying the equation:

2x + 78 = 224

Subtracting 78 from both sides:

2x = 146

Dividing both sides by 2:

x = 73

So the length of the adjacent side is 73 cm.

Expected answer: 34

Correct? No

🔗 Problem

Problem: A quadrilateral has two sides measuring 79m and 97m. Another side measures 51m. The total perimeter of the quadrilateral is 235m. What is the length of the fourth side?

CodeLlama 7B:

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

We know that the perimeter of the quadrilateral is 235m, so we can write:

x + x + x + x = 235

We also know that the sum of the lengths of the two sides that measure 79m and 97m is equal to the length of the fourth side:

79 + 97 = x

We can also write:

x + x + x + x = 235

Subtracting x from both sides of the equation gives us:

2x + 2x + 2x = 235 - x

Simplifying the equation gives us:

4x = 136

Dividing both sides of the equation by 4 gives us:

x = 34

So the length of the fourth side is 34m.

Expected answer: 8

Correct? No

🔗 Problem

Problem: A square has a perimeter of 28m. Can you calculate the length of one side of this square?

CodeLlama 7B:

  Yes, I can calculate the length of one side of the square.

To do this, we can use the formula for the perimeter of a square, which is:

Perimeter = 4 \* side length

We are given that the perimeter of the square is 28m, so we can set up the equation:

4 \* side length = 28

Now, we can solve for the side length by dividing both sides of the equation by 4:

side length = 28/4

side length = 7m

Therefore, the length of one side of the square is 7m.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 48cm. What is the length of each side?

CodeLlama 7B:

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

Perimeter = 4s

where s is the length of each side.

We are given that the perimeter of the square is 48cm. Plugging this value into the formula, we get:

48 = 4s

Solving for s, we get:

s = 48/4

s = 12

Therefore, the length of each side of the square is 12cm.

Expected answer: 12

Correct? Yes

🔗 Problem

Problem: A square plot of land has a perimeter of 184 meters. Can you find the length of one side of the plot?

CodeLlama 7B:

  Yes, I can find the length of one side of the plot.

The perimeter of a square is equal to 4 times the length of its side.

So, if the perimeter of the plot is 184 meters, we can set up the equation:

4s = 184

where s is the length of one side of the plot.

Solving for s, we get:

s = 184 / 4

s = 46 meters

Therefore, the length of one side of the plot is 46 meters.

Expected answer: 46

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 56 meters. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 56 meters, we can set up the equation:

4s = 56

To solve for s, we can divide both sides of the equation by 4:

s = 56/4

s = 14

Therefore, the length of each side of the square is 14 meters.

Expected answer: 14

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 157m. If one of its sides is 97m long, and the other two sides are 5m and 30m, respectively, what is the length of the fourth side to complete the perimeter?

CodeLlama 7B:

  Let's start by using the formula for the perimeter of a quadrilateral: P = a + b + c + d, where a, b, c, and d are the lengths of the four sides.

We know that the perimeter of the quadrilateral is 157m, so we can set up the equation:

a + b + c + d = 157

We also know that one of the sides is 97m long, so we can write:

a = 97

We also know that the other two sides are 5m and 30m long, so we can write:

b = 5
c = 30

Now we can substitute these values into the equation for the perimeter:

97 + 5 + 30 + d = 157

Simplifying the equation, we get:

107 + d = 157

Subtracting 107 from both sides gives us:

d = 50

So the length of the fourth side is 50m.

Expected answer: 25

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 173m. The length of the first side is 46m, second side is 50m and third side is 35m. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 173m, so we can set up the equation:

a + b + c + d = 173

We also know that the length of the first side is 46m, the length of the second side is 50m, and the length of the third side is 35m. So we can write:

a = 46
b = 50
c = 35

Now we can substitute these values into the equation for the perimeter:

46 + 50 + 35 + d = 173

Simplifying the equation, we get:

131 + d = 173

Subtracting 131 from both sides gives us:

d = 42

So the length of the fourth side is 42m.

Expected answer: 42

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 72 cm. What is the length of one of its sides?

CodeLlama 7B:

  The perimeter of a square is equal to 4 times the length of its side.

So, if the perimeter of the square is 72 cm, we can set up the equation:

4s = 72

where s is the length of one side of the square.

Solving for s, we get:

s = 72 / 4

s = 18

So, the length of one side of the square is 18 cm.

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 352m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 352m.

4s = 352

s = 352/4

s = 86m

Therefore, the length of each side of the square is 86m.

Expected answer: 88

Correct? No

🔗 Problem

Problem: A rectangle has 23m for its length and has a total perimeter of 116m. What is the length of its width?

CodeLlama 7B:

  To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

We are given that the perimeter is 116m, and the length is 23m. Plugging these values into the formula, we get:

2(23 + w) = 116

Simplifying, we get:

23 + 2w = 116

Subtracting 23 from both sides gives us:

2w = 93

Dividing both sides by 2 gives us:

w = 46.5m

So the width of the rectangle is 46.5m.

Expected answer: 35

Correct? No

🔗 Problem

Problem: A square has a perimeter of 124m. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 124m, we can set up the equation:

4s = 124

Solving for s, we get:

s = 124/4

s = 31m

Therefore, the length of each side of the square is 31m.

Expected answer: 31

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a total perimeter of 131m. Three of its sides have lengths 24m, 57m, and 17m respectively. What is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter of the quadrilateral is 131m, so we can set up the equation:

a + b + c + d = 131

We also know that the lengths of the three sides are 24m, 57m, and 17m, so we can write:

a = 24
b = 57
c = 17

Now we can substitute these values into the equation for the perimeter:

24 + 57 + 17 + d = 131

Simplifying the equation, we get:

108 + d = 131

Subtracting 108 from both sides gives us:

d = 23

So the length of the fourth side is 23m.

Expected answer: 33

Correct? No

🔗 Problem

Problem: A rectangle has a perimeter of 254m. One of its sides has a length of 89m. What is the length of the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 254m, so we can write:

x + x + 89 + 89 = 254

Simplifying the equation:

2x + 89 = 254

Subtracting 89 from both sides:

2x = 165

Dividing both sides by 2:

x = 82.5m

So the length of the other side is 82.5m.

Expected answer: 38

Correct? No

🔗 Problem

Problem: A square has a perimeter of 208m. What is the length of each side?

CodeLlama 7B:

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

Perimeter = 4s

where s is the length of each side.

We are given that the perimeter of the square is 208m. Plugging this value into the formula, we get:

208 = 4s

Solving for s, we get:

s = 54m

Therefore, the length of each side of the square is 54m.

Expected answer: 52

Correct? No

🔗 Problem

Problem: A square has a perimeter of 64m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4 times the length of each side.

Perimeter = 4s

where s is the length of each side.

Given that the perimeter of the square is 64m, we can set up the equation:

4s = 64

Solving for s, we get:

s = 64/4

s = 16

Therefore, the length of each side of the square is 16m.

Expected answer: 16

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a total perimeter of 196 meters. The lengths of three of its sides combined is 183 meters (with one side being 92 meters and the other two sides being 29 and 62 meters respectively). Can you figure out the length of the fourth side?

CodeLlama 7B:

  Yes, I can figure out the length of the fourth side.

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

We know that the total perimeter of the quadrilateral is 196 meters.

We also know that the sum of the lengths of the three sides is 183 meters.

So, we can set up the following equation:

x + 92 + 29 + 62 = 196

Simplifying the equation:

x + 161 = 196

Subtracting 161 from both sides:

x = 35

So, the length of the fourth side is 35 meters.

Expected answer: 13

Correct? No

🔗 Problem

Problem: The perimeter of a quadrilateral is 191 units. If one side is 35 units in length, another side is 76 units, and the third side is 5 units, what is the length of the fourth side in units?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 191 units, so we can set up the equation:

a + b + c + d = 191

We also know that one side is 35 units long, so we can write:

a = 35

We also know that another side is 76 units long, so we can write:

b = 76

We also know that the third side is 5 units long, so we can write:

c = 5

Now we can substitute these values into the equation for the perimeter:

35 + 76 + 5 + d = 191

Simplifying the equation, we get:

121 + d = 191

Subtracting 121 from both sides gives us:

d = 70

So the length of the fourth side is 70 units.

Expected answer: 75

Correct? No

🔗 Problem

Problem: A square has a perimeter of 104m. What is the length of each side?

CodeLlama 7B:

  To find the length of each side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 104m, we can set up the equation:

4s = 104

Solving for s, we get:

s = 104/4

s = 26

Therefore, the length of each side of the square is 26m.

Expected answer: 26

Correct? Yes

🔗 Problem

Problem: The perimeter of a rectangle is 198 cm. If the length of this rectangle is 90 cm, what is the width?

CodeLlama 7B:

  To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(l + w)

where l is the length and w is the width.

Given that the perimeter is 198 cm, we can set up the equation:

2(l + w) = 198

Simplifying the equation, we get:

2l + 2w = 198

Subtracting 2w from both sides gives us:

2l = 198 - 2w

Dividing both sides by 2 gives us:

l = (198 - 2w) / 2

Since we are given that the length is 90 cm, we can substitute this value into the equation:

l = (198 - 2w) / 2

Substituting 90 for l, we get:

(198 - 2w) / 2 = 90

Simplifying the equation, we get:

198 - 2w = 180

Subtracting 180 from both sides gives us:

2w = 10

Dividing both sides by 2 gives us:

w = 5

Therefore, the width of the rectangle is 5 cm.

Expected answer: 9

Correct? No

🔗 Problem

Problem: Jack is designing a rectangular garden with a total perimeter of 128 feet. He has already planned for one pair of opposite sides to be 47 feet each. What should be the length of the remaining two opposite sides?

CodeLlama 7B:

  Let's call the length of the remaining two sides "x".

We know that the total perimeter of the garden is 128 feet, so we can set up the equation:

47 + x + x + 47 = 128

Simplifying the equation:

2x + 47 = 128

Subtracting 47 from both sides:

2x = 71

Dividing both sides by 2:

x = 35.5

So, the length of the remaining two sides should be 35.5 feet.

Expected answer: 17

Correct? No

🔗 Problem

Problem: A square has a perimeter of 356m. What is the length of one of its sides?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 356m, we can set up the equation:

4s = 356

To solve for s, we can divide both sides of the equation by 4:

s = 356/4

s = 91

Therefore, the length of one side of the square is 91m.

Expected answer: 89

Correct? No

🔗 Problem

Problem: A quadrilateral has a perimeter of 236 units. Two sides of the quadrilateral measure 89 units and 87 units respectively, while the third side is 1 unit long. What is the length of the fourth side?

CodeLlama 7B:

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

We know that the perimeter of the quadrilateral is 236 units, so we can write:

x + x + x + x = 236

We also know that the sum of the lengths of the first two sides is equal to the sum of the lengths of the last two sides:

89 + 87 = 176

So, we can write:

x + x + x + x = 236
176 = 236

Subtracting 89 from both sides gives us:

x + x + x + x - 89 = 0

Subtracting 87 from both sides gives us:

x + x + x + x - 89 - 87 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 87 - 1 = 0

Subtracting 1 from both sides gives us:

x + x + x + x - 89 - 

Expected answer: 59

Correct? No

🔗 Problem

Problem: A square has a perimeter of 340 meters. What is the length of each side of this square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4 times the length of each side.

Perimeter = 4 x Side Length

We are given that the perimeter of the square is 340 meters.

340 = 4 x Side Length

Solving for the side length, we get:

Side Length = 340 / 4

Side Length = 85 meters

Therefore, the length of each side of the square is 85 meters.

Expected answer: 85

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 16m. What is the length of each side?

CodeLlama 7B:

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

Perimeter = 4s

where s is the length of each side.

Given that the perimeter of the square is 16m, we can set up the equation:

4s = 16

Solving for s, we get:

s = 16/4

s = 4

Therefore, the length of each side of the square is 4m.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A quadrilateral has four sides. The length of the first side is 1m, the second side is 54m, and the third side is 9m. The total perimeter of this quadrilateral is 81m. What would be the length of the fourth side in meters?

CodeLlama 7B:

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

We know that the total perimeter of the quadrilateral is 81 meters, so we can write the following equation:

x + 54 + 9 + x = 81

Simplifying the equation:

2x + 63 = 81

Subtracting 63 from both sides:

2x = 18

Dividing both sides by 2:

x = 9

So, the length of the fourth side is 9 meters.

Expected answer: 17

Correct? No

🔗 Problem

Problem: A quadrilateral, which is a perfect square, has a total perimeter of 316m. What is the length of each side of this square?

CodeLlama 7B:

  Let's call the length of each side of the square "s".

We know that the perimeter of a square is equal to the sum of the lengths of all four sides. So, we can write:

s + s + s + s = 316

Simplifying the equation, we get:

4s = 316

Dividing both sides by 4, we get:

s = 84

So, the length of each side of the square is 84 meters.

Expected answer: 79

Correct? No

🔗 Problem

Problem: A square has a perimeter of 300m. How long is each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

We are given that the perimeter of the square is 300m, so we can set up the equation:

4s = 300

To solve for s, we can divide both sides of the equation by 4:

s = 300/4

s = 75m

Therefore, each side of the square is 75m long.

Expected answer: 75

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 198m. Two of the sides have lengths of 19m and 57m respectively, another side is 22m, what is the length of the remaining side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 198m, so we can set up the equation:

198 = a + b + c + d

We also know that two of the sides have lengths of 19m and 57m, so we can write:

a = 19m
b = 57m

We can substitute these values into the equation for the perimeter:

198 = 19m + 57m + c + d

Simplifying the equation, we get:

198 = 76m + c + d

Now we can solve for c and d:

c = 198 - 76m - d

We can set up a system of equations by equating the two expressions for c:

198 - 76m - d = 76m + c

Subtracting 76m from both sides gives:

d = 120m

Now we can find the length of the remaining side:

c = 198 - 76m - 120m

c = 198 - 236m

c = -68m

So the length of the remaining side is -68m.

Expected answer: 100

Correct? No

🔗 Problem

Problem: A square has a perimeter of 172m. What is the length of each side of the square?

CodeLlama 7B:

  To find the length of each side of the square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of each side.

Given that the perimeter of the square is 172m, we can set up the equation:

4s = 172

To solve for s, we can divide both sides of the equation by 4:

s = 172/4

s = 43

Therefore, the length of each side of the square is 43m.

Expected answer: 43

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 304 cm. What is the length of one of its sides?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4 times the length of one side.

Perimeter = 4 x Side Length

We are given that the perimeter of the square is 304 cm.

304 = 4 x Side Length

Solving for Side Length, we get:

Side Length = 304 / 4

Side Length = 76 cm

Therefore, the length of one side of the square is 76 cm.

Expected answer: 76

Correct? Yes

🔗 Problem

Problem: A rectangle has a total perimeter of 158 meters. Each of the shorter sides is 51 meters long. What is the length of each of the longer sides?

CodeLlama 7B:

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

We know that the total perimeter of the rectangle is 158 meters, so the sum of the lengths of all four sides is equal to 4 times the perimeter.

4x = 158

Since the shorter sides are both 51 meters long, we can write:

x + 51 = 158

Subtracting 51 from both sides gives us:

x = 107

So the length of the longer side is 107 meters.

Expected answer: 28

Correct? No

🔗 Problem

Problem: A square has a perimeter of 72m. What is the length of one its sides?

CodeLlama 7B:

  To find the length of one side of a square, we can use the formula for the perimeter of a square, which is 4s, where s is the length of one side.

Given that the perimeter of the square is 72m, we can set up the equation:

4s = 72

To solve for s, we can divide both sides of the equation by 4:

s = 72/4

s = 18

Therefore, the length of one side of the square is 18m.

Expected answer: 18

Correct? Yes

🔗 Problem

Problem: A rectangular playground is bordered by a fence. Two opposite sides of the fence are 19m each. If the total length of the fence is 166m, what is the length of each of the other two sides?

CodeLlama 7B:

  Let's call the length of the two sides that are not opposite to each other "x" meters.

We know that the total length of the fence is 166 meters, so we can set up the equation:

x + x + 19 + 19 = 166

Simplifying the equation:

2x + 38 = 166

Subtracting 38 from both sides:

2x = 128

Dividing both sides by 2:

x = 64

So, the length of the two sides that are not opposite to each other is 64 meters.

Expected answer: 64

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 246m. You know that two of its sides are 40m and 32m long, another side is 95m long. What is the length of the fourth side?

CodeLlama 7B:

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

We know that the perimeter of the quadrilateral is 246m, so we can write:

x + x + 40 + 32 + 95 = 246

Simplifying the equation:

2x + 72 = 246

Subtracting 72 from both sides:

2x = 174

Dividing both sides by 2:

x = 87

So the length of the fourth side is 87m.

Expected answer: 79

Correct? No

🔗 Problem

Problem: A square has a perimeter of 32m. What is the length of one of its sides?

CodeLlama 7B:

  The perimeter of a square is equal to the sum of the lengths of all its sides. Since the perimeter of the square is 32m, we can set up the equation:

4s = 32

where s is the length of one side of the square.

Solving for s, we get:

s = 32/4

s = 8m

Therefore, the length of one side of the square is 8m.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A square has a perimeter of 12 meters. Can you find the length of one side of the square?

CodeLlama 7B:

  Yes, I can find the length of one side of the square.

The perimeter of a square is equal to the sum of the lengths of all its sides. Since the perimeter of the square is 12 meters, we can set up the equation:

4s = 12

where s is the length of one side of the square.

Solving for s, we get:

s = 12/4

s = 3 meters

Therefore, the length of one side of the square is 3 meters.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A quadrilateral has a perimeter of 160m. If the three known sides have lengths of 29m, 16m, and 41m, what is the length of the fourth side?

CodeLlama 7B:

  Let's use the formula for the perimeter of a quadrilateral: P = a + b + c + d

We know that the perimeter is 160m, so we can set up the equation:

a + b + c + d = 160

We also know that the three known sides have lengths of 29m, 16m, and 41m, so we can write:

a = 29
b = 16
c = 41

Now we can substitute these values into the equation for the perimeter:

29 + 16 + 41 + d = 160

Simplifying the equation, we get:

86 + d = 160

Subtracting 86 from both sides gives us:

d = 74

So the length of the fourth side is 74m.

Expected answer: 74

Correct? Yes

🔗 Problem

Problem: A rectangle has a perimeter of 98m. If one of its sides is 5m long, what is the length of the other side?

CodeLlama 7B:

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

We know that the perimeter of the rectangle is 98m, so we can write:

x + x + 5 + 5 = 98

Simplifying the equation:

2x + 10 = 98

Subtracting 10 from both sides:

2x = 88

Dividing both sides by 2:

x = 44

So the length of the other side is 44m.

Expected answer: 44

Correct? Yes

🔗 Problem

Problem: A rectangle has two sides measuring 45m each. If the total perimeter of the rectangle is 210m, what is the length of each of the other two sides?

CodeLlama 7B:

  Let's call the length of one of the sides "x".

We know that the total perimeter of the rectangle is 210m, so we can write:

45 + 45 + x + x = 210

Simplifying the equation:

2x + x = 210 - 90

2x = 120

x = 60

So, the length of the other two sides is 60m.

Expected answer: 60

Correct? Yes