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?

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter P is 324 meters and the length l is 83 meters. We can plug these values into the formula to get:

324 = 2(83) + 2w

Simplifying the equation, we get:

324 = 166 + 2w

Subtracting 166 from both sides, we get:

158 = 2w

Dividing both sides by 2, we get:

79 = w

### Answer: 79

Expected answer: 79

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 40m, so we can set up the equation: 4s = 40.

To find the length of each side, we can divide both sides of the equation by 4: s = 40/4 = 10.

### Answer: 10m

Expected answer: 10

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 344m, so we can set up the equation:

4s = 344

To find the length of each side, we can divide both sides of the equation by 4:

s = 344 ÷ 4
s = 86

### Answer: 86m

Expected answer: 86

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 348m, so we can set up the equation:

4s = 348

To find the length of each side, we can divide both sides of the equation by 4:

s = 348 ÷ 4
s = 87

### Answer: 87m

Expected answer: 87

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of the rectangle is 194 cm, we can set up an equation using the formula: Perimeter = 2(Length + Width)

194 = 2(L + W)

Now, we are given that one of the sides (let's call it the length) is 49 cm. We can plug this value into the equation:

194 = 2(49 + W)

Simplify the equation:

194 = 98 + 2W

Subtract 98 from both sides:

96 = 2W

Divide both sides by 2:

48 = W

So, the length of the other side (the width) is 48 cm.

### Answer: 48 cm

Expected answer: 48

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 192m, so we can set up the equation: 4s = 192.

To find the length of one side, we can divide both sides of the equation by 4: s = 192 ÷ 4 = 48.

### Answer: 48m

Expected answer: 48

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 68cm, so we can set up the equation: 4s = 68.

To find the length of one side, we can divide both sides of the equation by 4: s = 68 ÷ 4 = 17.

### Answer: 17cm

Expected answer: 17

Correct? Yes

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

Llama 3 70B:

Let's call the length of the other side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(x + 4) = 52

Simplifying the equation, we get:

2x + 8 = 52

Subtracting 8 from both sides, we get:

2x = 44

Dividing both sides by 2, we get:

x = 22

So, the other side measures 22 meters.

### Answer: 22

Expected answer: 22

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

We know that the perimeter is 229m, and we have three sides with lengths 93m, 98m, and 36m. We can set up an equation:

93 + 98 + 36 + x = 229

Combine the lengths of the three known sides:

227 + x = 229

Subtract 227 from both sides:

x = 229 - 227
x = 2

### Answer: 2m

Expected answer: 2

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 16m, so we can set up the equation: 4s = 16.

To solve for s, we can divide both sides of the equation by 4: s = 16/4 = 4.

### Answer: 4m

Expected answer: 4

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 272m, so we can set up the equation:

4s = 272

To find the length of each side, we can divide both sides of the equation by 4:

s = 272 ÷ 4
s = 68

### Answer: 68m

Expected answer: 68

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 244m, so we can set up the equation: 4s = 244.

To find the length of each side, we can divide both sides of the equation by 4: s = 244/4 = 61.

### Answer: 61m

Expected answer: 61

Correct? Yes

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?

Llama 3 70B:

Let's use the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

We know that the perimeter is 227m, and we have three sides with lengths 70m, 29m, and 61m. We can set up an equation:

70 + 29 + 61 + x = 227

Combine the lengths of the three known sides:

160 + x = 227

Subtract 160 from both sides to solve for x:

x = 227 - 160
x = 67

### Answer: 67m

Expected answer: 67

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 280m, so we can set up the equation: 4s = 280.

To find the length of one side, we can divide both sides of the equation by 4: s = 280/4 = 70.

### Answer: 70m

Expected answer: 70

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. We can set up an equation:

Perimeter = Side1 + Side2 + Side3 + Side4

We know the perimeter is 219cm, and we're given the lengths of three sides: 37cm, 98cm, and 41cm. Let's plug these values into the equation:

219 = 37 + 98 + 41 + Side4

Now, let's simplify the equation by combining the known side lengths:

219 = 176 + Side4

Subtract 176 from both sides to isolate Side4:

43 = Side4

### Answer: 43cm

Expected answer: 43

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 44m, so we can set up the equation: 4s = 44.

To solve for s, we can divide both sides of the equation by 4: s = 44/4 = 11.

### Answer: 11m

Expected answer: 11

Correct? Yes

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

Llama 3 70B:

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

Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(l + w) = 282

where l is the length of the longer side (71 meters) and w is the length of the shorter side (x).

Substituting the value of l, we get:

2(71 + x) = 282

Expanding the equation, we get:

142 + 2x = 282

Subtracting 142 from both sides, we get:

2x = 140

Dividing both sides by 2, we get:

x = 70

### Answer: 70

Expected answer: 70

Correct? Yes

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?

Llama 3 70B:

Let's call the length of the longer side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(x) + 2(57) = 128

Simplifying the equation, we get:

2x + 114 = 128

Subtracting 114 from both sides, we get:

2x = 14

Dividing both sides by 2, we get:

x = 7

So, the length of the longer side is 7 meters.

### Answer: 7

Expected answer: 7

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 392m, so we can set up the equation:

4s = 392

To find the length of each side, we can divide both sides of the equation by 4:

s = 392 ÷ 4
s = 98

### Answer: 98m

Expected answer: 98

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of a rectangle is the sum of all its sides, we can set up an equation:

2(l + w) = 204

where l is the length and w is the width.

We are given that one of the sides has a length of 16m, so we can substitute this value into the equation:

2(16 + w) = 204

Now, let's simplify the equation:

32 + 2w = 204

Subtract 32 from both sides:

2w = 172

Divide both sides by 2:

w = 86

So, the length of the other side is 86m.

### Answer: 86

Expected answer: 86

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 336cm, so we can set up the equation: 4s = 336. To find the length of one side, we can divide both sides of the equation by 4: s = 336/4 = 84.
### Answer: 84cm

Expected answer: 84

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 144 meters, so we can set up the equation: 4s = 144. To find the length of one side, we can divide both sides of the equation by 4: s = 144/4 = 36.
### Answer: 36

Expected answer: 36

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of all its sides. Let the length of the fourth side be x.

We know that the perimeter is 236 cm, and we have three sides with lengths 69 cm, 50 cm, and 39 cm. We can set up an equation:

69 + 50 + 39 + x = 236

Combine the known side lengths:

158 + x = 236

Subtract 158 from both sides:

x = 236 - 158
x = 78

### Answer: 78 cm

Expected answer: 78

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of all its sides. We can set up an equation:

Perimeter = 193cm
= 37cm + 14cm + 73cm + x

where x is the unknown side length.

Combine the known side lengths:
193cm = 124cm + x

Subtract 124cm from both sides to isolate x:
x = 193cm - 124cm
x = 69cm

### Answer: 69cm

Expected answer: 69

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 160m, so we can set up the equation: 4s = 160.

To find the length of one side, we can divide both sides of the equation by 4: s = 160/4 = 40.

### Answer: 40m

Expected answer: 40

Correct? Yes

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

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter is 228 meters and the length is 90 meters. We can plug these values into the formula to get:

228 = 2(90) + 2w

Simplifying the equation, we get:

228 = 180 + 2w

Subtracting 180 from both sides, we get:

48 = 2w

Dividing both sides by 2, we get:

w = 24

### Answer: 24

Expected answer: 24

Correct? Yes

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?

Llama 3 70B:

Reasoning: The perimeter of a square is the sum of all its sides. Since all sides are equal, we can divide the perimeter by 4 to find the length of one side.

Perimeter = 136 meters
Number of sides = 4

Length of one side = Perimeter ÷ Number of sides
= 136 ÷ 4
= 34

### Answer: 34 meters

Expected answer: 34

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of a rectangle is the sum of all its sides, we can set up an equation:

2(l + w) = 236

where l is the length and w is the width.

We are given that one side (let's call it the width) is 43 meters, so we can substitute this value into the equation:

2(l + 43) = 236

Now, let's simplify the equation:

2l + 86 = 236

Subtract 86 from both sides:

2l = 150

Divide both sides by 2:

l = 75

So, the length of the opposite side is 75 meters.

### Answer: 75

Expected answer: 75

Correct? Yes

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?

Llama 3 70B:

Let's break down the information we have:

* The perimeter of the quadrilateral is 206m.
* Two of its sides together have a length of 58m.
* The other two sides together have a length of 54m and 1m, respectively.

We can start by adding the lengths of the two pairs of sides:

58m + (54m + 1m) = 58m + 55m = 113m

This means that the total length of the three known sides is 113m. To find the length of the missing portion of the perimeter, we can subtract this from the total perimeter:

206m - 113m = 93m

### Answer: 93m

Expected answer: 93

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 284 meters, so we can set up the equation: 4s = 284. To find the length of each side, we can divide both sides of the equation by 4: s = 284/4 = 71.
### Answer: 71 meters.

Expected answer: 71

Correct? Yes

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?

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter is 150 feet and the length is 69 feet. We can plug these values into the formula to get:

150 = 2(69) + 2w

Simplifying the equation, we get:

150 = 138 + 2w

Subtracting 138 from both sides, we get:

12 = 2w

Dividing both sides by 2, we get:

w = 6

### Answer: 6

Expected answer: 6

Correct? Yes

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

Llama 3 70B:

Reasoning: Let's call the length of the other side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation: 2(x + 35) = 166.

Simplifying the equation, we get: 2x + 70 = 166.

Subtracting 70 from both sides, we get: 2x = 96.

Dividing both sides by 2, we get: x = 48.

So, the other side measures 48m.
### Answer: 48

Expected answer: 48

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 124m, so we can set up the equation: 4s = 124.

To find the length of each side, we can divide both sides of the equation by 4: s = 124/4 = 31.

### Answer: 31m

Expected answer: 31

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since it's a rectangular field, the perimeter is the sum of all its sides. Let's call the length of the opposite side "x". Then, the perimeter can be written as:

2(l + w) = 336

where l is the length (which is x) and w is the width (which is 79).

We can simplify the equation by dividing both sides by 2:

l + w = 168

Now, substitute w = 79:

x + 79 = 168

Subtract 79 from both sides:

x = 168 - 79
x = 89

### Answer: 89

Expected answer: 89

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 132 meters, so we can set up the equation: 4s = 132. To find the length of one side, we can divide both sides of the equation by 4: s = 132/4 = 33.
### Answer: 33

Expected answer: 33

Correct? Yes

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?

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter is 138 feet and the length is 46 feet. We can plug these values into the formula to get:

138 = 2(46) + 2w

Simplifying the equation, we get:

138 = 92 + 2w

Subtracting 92 from both sides, we get:

46 = 2w

Dividing both sides by 2, we get:

w = 23

### Answer: 23

Expected answer: 23

Correct? Yes

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?

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter is 200 meters and the length is 49 meters. We can set up an equation using the formula:

200 = 2(49) + 2w

Simplifying the equation, we get:

200 = 98 + 2w

Subtracting 98 from both sides, we get:

102 = 2w

Dividing both sides by 2, we get:

w = 51

### Answer: 51

Expected answer: 51

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 200m, so we can set up the equation: 4s = 200.

To find the length of each side, we can divide both sides of the equation by 4: s = 200/4 = 50.

### Answer: 50m

Expected answer: 50

Correct? Yes

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?

Llama 3 70B:

Let's use the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

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

9 + 30 + 71 + x = 199

Combine the known side lengths:

110 + x = 199

Subtract 110 from both sides:

x = 199 - 110
x = 89

### Answer: 89m

Expected answer: 89

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

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

35 + 62 + 70 + x = 207

Combine the lengths of the three known sides:

167 + x = 207

Subtract 167 from both sides to isolate x:

x = 207 - 167
x = 40

### Answer: 40m

Expected answer: 40

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of the rectangle is 384cm, we can set up an equation using the formula: Perimeter = 2(Length + Width)

384 = 2(L + 99)

Now, divide both sides by 2:

192 = L + 99

Subtract 99 from both sides:

93 = L

Since the longer sides of the rectangle are equal, the length of each longer side is 93cm.

### Answer: 93cm

Expected answer: 93

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. We can set up an equation:

Perimeter = Side1 + Side2 + Side3 + Side4

We are given the perimeter and the lengths of the first three sides, so we can plug those values into the equation:

255 = 78 + 15 + 63 + Side4

Now, let's simplify the equation by combining the lengths of the first three sides:

255 = 156 + Side4

Subtract 156 from both sides of the equation to isolate Side4:

255 - 156 = Side4

Side4 = 99

### Answer: 99m

Expected answer: 99

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 128m, so we can set up the equation: 4s = 128.

To find the length of one side, we can divide both sides of the equation by 4: s = 128/4 = 32.

### Answer: 32m

Expected answer: 32

Correct? Yes

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?

Llama 3 70B:

Let's call the length of the other pair of opposite sides "x". Since the perimeter of the rectangle is 96 feet, we can set up the equation:

2(33) + 2x = 96

Simplifying the equation, we get:

66 + 2x = 96

Subtracting 66 from both sides, we get:

2x = 30

Dividing both sides by 2, we get:

x = 15

So, the length of the other pair of opposite sides is 15 feet.

### Answer: 15

Expected answer: 15

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 112 meters, so we can set up the equation: 4s = 112.

To find the length of each side, we can divide both sides of the equation by 4: s = 112/4 = 28.

### Answer: 28 meters.

Expected answer: 28

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 32 cm, so we can set up the equation: 4s = 32.

To find the length of one side, we can divide both sides of the equation by 4: s = 32/4 = 8.

### Answer: 8 cm

Expected answer: 8

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 364m, so we can set up the equation:

4s = 364

To find the length of each side, we can divide both sides of the equation by 4:

s = 364 ÷ 4
s = 91

### Answer: 91m

Expected answer: 91

Correct? Yes

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?

Llama 3 70B:

Let's call the length of the other side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(l + w) = 144

where l is the length (38 feet) and w is the width (x feet).

Substituting the value of l, we get:

2(38 + x) = 144

Expanding the equation, we get:

76 + 2x = 144

Subtracting 76 from both sides, we get:

2x = 68

Dividing both sides by 2, we get:

x = 34

So, the length of the other side of the rectangle is 34 feet.

### Answer: 34

Expected answer: 34

Correct? Yes

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?

Llama 3 70B:

Let's break this down step by step:

We know that the perimeter of the quadrilateral is 205m.

Two of its sides add up to 54m, so let's call this sum "a" = 54m.

The other two sides add up to 22m and 37m respectively, so let's call their sum "b" = 22m + 37m = 59m.

Since the perimeter is the sum of all four sides, we can set up the equation:

a + b + x = 205

where x is the length of the remaining side.

Substituting the values, we get:

54 + 59 + x = 205

Combine like terms:

113 + x = 205

Subtract 113 from both sides:

x = 205 - 113
x = 92

### Answer: 92m

Expected answer: 92

Correct? Yes

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

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. We are given that the perimeter is 174m and the length is 65m. We can set up an equation using the formula:

174 = 2(65) + 2w

Simplifying the equation, we get:

174 = 130 + 2w

Subtracting 130 from both sides, we get:

44 = 2w

Dividing both sides by 2, we get:

w = 22

### Answer: 22m

Expected answer: 22

Correct? Yes

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?

Llama 3 70B:

Let's use the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

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

25 + 17 + 89 + x = 176

Combine the known side lengths:

131 + x = 176

Subtract 131 from both sides:

x = 45

### Answer: 45 cm

Expected answer: 45

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 372 meters, so we can set up the equation:

4s = 372

To find the length of each side, we can divide both sides of the equation by 4:

s = 372 ÷ 4
s = 93

### Answer: 93 meters

Expected answer: 93

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 240 meters, so we can set up the equation: 4s = 240.

To find the length of one side, we can divide both sides of the equation by 4: s = 240 ÷ 4 = 60.

### Answer: 60 meters

Expected answer: 60

Correct? Yes

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?

Llama 3 70B:

Let's call the length of the other side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(x + 97) = 242

Simplifying the equation, we get:

2x + 194 = 242

Subtracting 194 from both sides, we get:

2x = 48

Dividing both sides by 2, we get:

x = 24

So, the length of the other side is 24 meters.

### Answer: 24

Expected answer: 24

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 316 meters, so we can set up the equation:

4s = 316

To find the length of each side, we can divide both sides of the equation by 4:

s = 316 ÷ 4
s = 79

### Answer: 79 meters

Expected answer: 79

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 268cm, so we can set up the equation:

4s = 268

To find the length of each side, we can divide both sides of the equation by 4:

s = 268 ÷ 4
s = 67

### Answer: 67cm

Expected answer: 67

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 348m, so we can set up the equation:

4s = 348

To find the length of each side, we can divide both sides of the equation by 4:

s = 348 ÷ 4
s = 87

### Answer: 87m

Expected answer: 87

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 400m, so we can set up the equation: 4s = 400.

To find the length of one side, we can divide both sides of the equation by 4: s = 400/4 = 100.

### Answer: 100m

Expected answer: 100

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. We know the perimeter is 243m, and we know three of the side lengths: 81m, 100m, and 19m. Let's call the length of the fourth side "x".

We can set up an equation using the perimeter formula:

81 + 100 + 19 + x = 243

Combine the known side lengths:

200 + x = 243

Subtract 200 from both sides to isolate x:

x = 43

### Answer: 43m

Expected answer: 43

Correct? Yes

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

Llama 3 70B:

Reasoning: Let's call the length of the other side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation: 2(x + 50) = 186.

Simplifying the equation, we get: 2x + 100 = 186.

Subtracting 100 from both sides, we get: 2x = 86.

Dividing both sides by 2, we get: x = 43.

So, the other side is 43cm long.
### Answer: 43cm

Expected answer: 43

Correct? Yes

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?

Llama 3 70B:

Reasoning: Let's call the length of the adjacent side "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation: 2(l + w) = 224, where l is the length (78 cm) and w is the width (x).

Substituting the value of l, we get: 2(78 + x) = 224.

Expanding the equation, we get: 156 + 2x = 224.

Subtracting 156 from both sides, we get: 2x = 68.

Dividing both sides by 2, we get: x = 34.

### Answer: 34 cm

Expected answer: 34

Correct? Yes

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?

Llama 3 70B:

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

We know that the perimeter of the quadrilateral is the sum of all its sides, so we can set up the equation:

79 + 97 + 51 + x = 235

Combine the known sides:

227 + x = 235

Subtract 227 from both sides:

x = 235 - 227
x = 8

### Answer: 8m

Expected answer: 8

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 28m, so we can set up the equation: 4s = 28.

To solve for s, we can divide both sides of the equation by 4: s = 28/4 = 7.

### Answer: 7m

Expected answer: 7

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 48cm, so we can set up the equation: 4s = 48.

To find the length of each side, we can divide both sides of the equation by 4: s = 48/4 = 12.

### Answer: 12cm

Expected answer: 12

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 184 meters, so we can set up the equation:

4s = 184

To find the length of one side, we can divide both sides of the equation by 4:

s = 184 ÷ 4
s = 46

### Answer: 46

Expected answer: 46

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 56 meters, so we can set up the equation: 4s = 56.

To find the length of each side, we can divide both sides of the equation by 4: s = 56/4 = 14.

### Answer: 14 meters

Expected answer: 14

Correct? Yes

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?

Llama 3 70B:

Let's start by adding up the lengths of the three known sides:

97m + 5m + 30m = 132m

Since the perimeter of the quadrilateral is 157m, we can set up an equation to find the length of the fourth side:

132m + x = 157m

Subtract 132m from both sides to isolate x:

x = 157m - 132m
x = 25m

### Answer: 25m

Expected answer: 25

Correct? Yes

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?

Llama 3 70B:

Let's use the formula for the perimeter of a quadrilateral: Perimeter = Side1 + Side2 + Side3 + Side4

We are given the perimeter (173m) and the lengths of the first three sides (46m, 50m, and 35m). We can set up an equation to solve for the length of the fourth side:

173 = 46 + 50 + 35 + Side4

First, let's add up the lengths of the first three sides:
46 + 50 + 35 = 131

Now, subtract 131 from both sides of the equation:
173 - 131 = Side4
42 = Side4

### Answer: 42m

Expected answer: 42

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 72 cm, so we can set up the equation: 4s = 72. To find the length of one side, we can divide both sides of the equation by 4: s = 72/4 = 18.
### Answer: 18 cm

Expected answer: 18

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 352m, so we can set up the equation:

4s = 352

To find the length of each side, we can divide both sides of the equation by 4:

s = 352 ÷ 4
s = 88

### Answer: 88m

Expected answer: 88

Correct? Yes

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

Llama 3 70B:

Reasoning: The perimeter of a rectangle is given by the formula: Perimeter = 2(Length + Width).
Given the perimeter is 116m, we can set up the equation: 116 = 2(23 + Width).
Simplifying the equation, we get: 116 = 46 + 2Width.
Subtracting 46 from both sides, we get: 70 = 2Width.
Dividing both sides by 2, we get: Width = 35m.
### Answer: 35m.

Expected answer: 35

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 124m, so we can set up the equation: 4s = 124.

To find the length of each side, we can divide both sides of the equation by 4: s = 124/4 = 31.

### Answer: 31m

Expected answer: 31

Correct? Yes

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?

Llama 3 70B:

Let's start by adding up the lengths of the three given sides:

24m + 57m + 17m = 98m

Since the total perimeter of the quadrilateral is 131m, we can set up an equation to find the length of the fourth side:

98m + x = 131m

where x is the length of the fourth side.

Subtracting 98m from both sides of the equation gives us:

x = 131m - 98m
x = 33m

### Answer: 33m

Expected answer: 33

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since it's a rectangle, it has two pairs of equal sides. Let's call the length of the other side "x".

The perimeter of a rectangle is the sum of all its sides, which is given as 254m. We can set up an equation using this information:

2(l + w) = 254

where l is the length (which is the side we're trying to find) and w is the width (which is given as 89m).

Substituting w = 89, we get:

2(l + 89) = 254

Simplifying the equation, we get:

2l + 178 = 254

Subtracting 178 from both sides, we get:

2l = 76

Dividing both sides by 2, we get:

l = 38

So, the length of the other side is 38m.

### Answer: 38

Expected answer: 38

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 208m, so we can set up the equation:

4s = 208

To find the length of each side, we can divide both sides of the equation by 4:

s = 208 ÷ 4
s = 52

### Answer: 52m

Expected answer: 52

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 64m, so we can set up the equation: 4s = 64.

To find the length of each side, we can divide both sides of the equation by 4: s = 64/4 = 16.

### Answer: 16m

Expected answer: 16

Correct? Yes

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?

Llama 3 70B:

Let's break this down step by step!

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

We also know the lengths of three of its sides:

* One side is 92 meters
* Another side is 29 meters
* The third side is 62 meters

Let's add up the lengths of these three sides:

92 + 29 + 62 = 183 meters

Now, we can set up an equation to find the length of the fourth side:

Total Perimeter = Sum of lengths of three sides + Length of fourth side
196 = 183 + x

Subtract 183 from both sides of the equation:

196 - 183 = x
13 = x

So, the length of the fourth side is 13 meters.

### Answer: 13

Expected answer: 13

Correct? Yes

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?

Llama 3 70B:

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

We are given that the perimeter is 191 units, and three of the sides have lengths 35, 76, and 5 units. We can set up an equation:

191 = 35 + 76 + 5 + d

Combine the known side lengths:

191 = 116 + d

Subtract 116 from both sides:

75 = d

### Answer: 75

Expected answer: 75

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 104m, so we can set up the equation: 4s = 104.

To find the length of each side, we can divide both sides of the equation by 4: s = 104/4 = 26.

### Answer: 26m

Expected answer: 26

Correct? Yes

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

Llama 3 70B:

Reasoning: The perimeter of a rectangle is the sum of all its sides. Since it's a rectangle, we know that it has two lengths and two widths. Let's call the width "w". Then, the perimeter can be written as: 2(length + width) = 198.

We are given the length, which is 90 cm. So, we can plug that in: 2(90 + w) = 198.

To solve for w, we can start by dividing both sides by 2: 90 + w = 99.

Then, we can subtract 90 from both sides: w = 9.

### Answer: 9 cm

Expected answer: 9

Correct? Yes

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?

Llama 3 70B:

Let's call the length of the remaining two opposite sides "x". Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(47) + 2x = 128

Simplifying the equation, we get:

94 + 2x = 128

Subtracting 94 from both sides, we get:

2x = 34

Dividing both sides by 2, we get:

x = 17

So, the length of the remaining two opposite sides should be 17 feet each.

### Answer: 17

Expected answer: 17

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 356m, so we can set up the equation: 4s = 356.

To find the length of one side, we can divide both sides of the equation by 4: s = 356 ÷ 4 = 89.

### Answer: 89m

Expected answer: 89

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of the lengths of all its sides. Let the length of the fourth side be x.

We know that the perimeter is 236 units, so we can set up the equation:

89 + 87 + 1 + x = 236

Combine the constants on the left-hand side:

177 + x = 236

Subtract 177 from both sides to isolate x:

x = 236 - 177
x = 59

### Answer: 59

Expected answer: 59

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 340 meters, so we can set up the equation: 4s = 340.

To find the length of each side, we can divide both sides of the equation by 4: s = 340 ÷ 4 = 85.

### Answer: 85 meters

Expected answer: 85

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 16m, so we can set up the equation: 4s = 16.

To solve for s, we can divide both sides of the equation by 4: s = 16/4 = 4.

### Answer: 4m

Expected answer: 4

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the total perimeter of the quadrilateral is 81m. We can set up an equation to represent this:

Perimeter = Side1 + Side2 + Side3 + Side4
81 = 1 + 54 + 9 + Side4

Now, let's simplify the equation by combining the known side lengths:

81 = 64 + Side4

Subtract 64 from both sides to isolate Side4:

81 - 64 = Side4
17 = Side4

### Answer: 17

Expected answer: 17

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a perfect square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 316m, so we can set up the equation:

4s = 316

To find the length of each side, we can divide both sides of the equation by 4:

s = 316 ÷ 4
s = 79

### Answer: 79m

Expected answer: 79

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 300m, so we can set up the equation: 4s = 300.

To find the length of each side, we can divide both sides of the equation by 4: s = 300/4 = 75.

### Answer: 75m

Expected answer: 75

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of all its sides. Let the length of the remaining side be x.

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

19 + 57 + 22 + x = 198

Combine the known side lengths:

98 + x = 198

Subtract 98 from both sides:

x = 198 - 98
x = 100

### Answer: 100m

Expected answer: 100

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of each side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 172m, so we can set up the equation:

4s = 172

To find the length of each side, we can divide both sides of the equation by 4:

s = 172 ÷ 4
s = 43

### Answer: 43m

Expected answer: 43

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 304 cm, so we can set up the equation: 4s = 304. To find the length of one side, we can divide both sides of the equation by 4: s = 304/4 = 76.
### Answer: 76 cm

Expected answer: 76

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of a rectangle is the sum of all its sides, we can set up an equation:

2(l + w) = 158

where l is the length of the longer side and w is the length of the shorter side.

We know that each of the shorter sides is 51 meters long, so we can substitute w = 51 into the equation:

2(l + 51) = 158

Now, let's simplify the equation:

2l + 102 = 158

Subtract 102 from both sides:

2l = 56

Divide both sides by 2:

l = 28

So, the length of each of the longer sides is 28 meters.

### Answer: 28

Expected answer: 28

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 72m, so we can set up the equation: 4s = 72. To find the length of one side, we can divide both sides of the equation by 4: s = 72/4 = 18.
### Answer: 18m

Expected answer: 18

Correct? Yes

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?

Llama 3 70B:

Let's break this problem down step by step!

Since the playground is rectangular, it has four sides. Two opposite sides have a length of 19m each, so the total length of these two sides is 19 + 19 = 38m.

The total length of the fence is 166m, so the total length of the other two sides is 166 - 38 = 128m.

Since these two sides are opposite each other, they must have the same length. Therefore, the length of each of the other two sides is 128 ÷ 2 = 64m.

### Answer: 64m

Expected answer: 64

Correct? Yes

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?

Llama 3 70B:

Let's start by using the fact that the perimeter of a quadrilateral is the sum of all its sides. We can set up an equation:

Perimeter = Side1 + Side2 + Side3 + Side4

We know the perimeter is 246m, and three of the sides are 40m, 32m, and 95m. Let's plug these values into the equation:

246 = 40 + 32 + 95 + Side4

Now, let's simplify the equation by combining the known sides:

246 = 167 + Side4

Subtract 167 from both sides to isolate Side4:

246 - 167 = Side4
79 = Side4

### Answer: 79m

Expected answer: 79

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 32m, so we can set up the equation: 4s = 32.

To find the length of one side, we can divide both sides of the equation by 4: s = 32/4 = 8.

### Answer: 8m

Expected answer: 8

Correct? Yes

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

Llama 3 70B:

Reasoning: Since it's a square, all sides are equal. Let's call the length of one side "s". The perimeter of a square is the sum of all its sides, which is 4s. We know the perimeter is 12 meters, so we can set up the equation: 4s = 12.

To solve for s, we can divide both sides of the equation by 4: s = 12/4 = 3.

### Answer: 3 meters

Expected answer: 3

Correct? Yes

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?

Llama 3 70B:

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

We know that the perimeter of the quadrilateral is the sum of all its sides, so we can set up the equation:

29 + 16 + 41 + x = 160

Combine the known sides:

86 + x = 160

Subtract 86 from both sides:

x = 160 - 86
x = 74

### Answer: 74m

Expected answer: 74

Correct? Yes

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

Llama 3 70B:

Let's break this problem down step by step!

Since the perimeter of a rectangle is the sum of all its sides, we can set up an equation:

2(l + w) = 98

where l is the length and w is the width.

We are given that one of the sides is 5m long, so let's say the width w = 5m.

Now, substitute w into the equation:

2(l + 5) = 98

Simplify the equation:

2l + 10 = 98

Subtract 10 from both sides:

2l = 88

Divide both sides by 2:

l = 44

So, the length of the other side is 44m.

### Answer: 44m

Expected answer: 44

Correct? Yes

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?

Llama 3 70B:

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

Since the perimeter of a rectangle is the sum of all its sides, we can set up the equation:

2(45) + 2x = 210

Simplifying the equation, we get:

90 + 2x = 210

Subtracting 90 from both sides, we get:

2x = 120

Dividing both sides by 2, we get:

x = 60

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

### Answer: 60m

Expected answer: 60

Correct? Yes