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GPT-3.5 Turbo 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?

GPT-3.5 Turbo:

Let the width of the pool be \( w \) meters. The perimeter of a rectangle is given by the formula \( P = 2L + 2W \), where \( L \) is the length and \( W \) is the width.

Given that the perimeter is 324 meters and the length is 83 meters, we can write the equation as:
\[ 324 = 2(83) + 2w \]
\[ 324 = 166 + 2w \]
\[ 2w = 324 - 166 \]
\[ 2w = 158 \]
\[ w = 158/2 \]
\[ w = 79 \]

Therefore, the width of the pool is 79 meters.
### Answer: 79.

Expected answer: 79

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 40 \). Solving for \( s \), we have \( s = \frac{40}{4} = 10 \) meters.

### Answer: 10 meters.

Expected answer: 10

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 344 \). Solving for \( s \), we have \( s = 344/4 = 86 \) meters.

### Answer: 86 meters.

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?

GPT-3.5 Turbo:

Given that a square has four equal sides, the perimeter of the square is 4 times the length of one side. Therefore, the length of each side of the square is 348m / 4 = <<348/4=87>>87m.
### Answer: 87m

Expected answer: 87

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the rectangle be \( l \) and the width be \( w \).
We know that the perimeter of a rectangle is given by \( 2l + 2w \).
Given that the perimeter is 194 cm, we have:
\[ 2l + 2w = 194 \]
We are also given that the length of one side is 49 cm, so \( l = 49 \).
Substitute the value of \( l \) into the perimeter equation:
\[ 2(49) + 2w = 194 \]
\[ 98 + 2w = 194 \]
\[ 2w = 194 - 98 \]
\[ 2w = 96 \]
\[ w = 96/2 \]
\[ w = 48 \]
Therefore, the length of the other side is 48 cm.
### Answer: 48 cm.

Expected answer: 48

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 192 \). Solving for \( s \), we have \( s = 192/4 = 48 \) meters.

### Answer: 48 meters.

Expected answer: 48

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 68 \) cm. Solving for \( s \), we have \( s = 68/4 = 17 \) cm.

### Answer: 17 cm.

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?

GPT-3.5 Turbo:

Let the length of the other side be \( x \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 52 meters and one side is 4 meters, we have \( 2 \times (4 + x) = 52 \). Simplifying this equation, we get \( 8 + 2x = 52 \), which gives \( 2x = 44 \) and \( x = 22 \).

Therefore, the other side is 22 meters long.
### Answer: 22.

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?

GPT-3.5 Turbo:

Let the length of the fourth side be x meters.  
The perimeter of a quadrilateral is the sum of all its sides.  
So, 93 + 98 + 36 + x = 229.  
Solving for x, we get x = 229 - 93 - 98 - 36 = 2 meters.  

### Answer: 2.

Expected answer: 2

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since the perimeter of a square is given by \( 4s \), we have:

\[ 4s = 16 \]

Dividing both sides by 4, we get:

\[ s = 4 \]

Therefore, the length of each side of the square is \( \boxed{4 \text{ meters}} \).

### Answer: 4 meters

Expected answer: 4

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of each side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 272 \) meters. Solving for \( s \), we have \( s = 272/4 = 68 \) meters.

### Answer: 68 meters.

Expected answer: 68

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 244 \)m. Solving for \( s \), we have \( s = 244/4 = 61 \)m.

### Answer: 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?

GPT-3.5 Turbo:

Let the length of the fourth side be x meters. The perimeter of a quadrilateral is the sum of all its sides. So, we have:

70 + 29 + 61 + x = 227

Solving for x:

x = 227 - 70 - 29 - 61
x = 67

### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of a side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 280 \). Solving for \( s \), we have \( s = 280/4 = 70 \) meters.
### Answer: 70 meters.

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?

GPT-3.5 Turbo:

Reasoning: The perimeter of a quadrilateral is the sum of all its four sides. We know the lengths of three sides are 37cm, 98cm, and 41cm. Let the length of the fourth side be x cm. Therefore, the perimeter is given by:

37 + 98 + 41 + x = 219

Solving for x:

x = 219 - 37 - 98 - 41
x = 43

### Answer: 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?

GPT-3.5 Turbo:

Let the length of one side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 44 \) meters. Solving for \( s \), we have \( s = 44/4 = 11 \) meters.

### Answer: 11 meters.

Expected answer: 11

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the shorter side be \( x \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 282 meters and the longer side is 71 meters, we have:

\[ 2 \times (71 + x) = 282 \]
\[ 71 + x = 141 \]
\[ x = 141 - 71 = 70 \]

Therefore, the length of the shorter side is 70 meters.
### Answer: 70

Expected answer: 70

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the longer side be \( x \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the total perimeter is 128 meters, we have:

\[ 2 \times (57 + x) = 128 \]
\[ 114 + 2x = 128 \]
\[ 2x = 14 \]
\[ x = 7 \]

Therefore, the longer side of the garden is 7 meters long.
### Answer: 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 392 \). Solving for \( s \), we have \( s = 392/4 = 98 \) meters.

### Answer: 98 meters.

Expected answer: 98

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the other side be \( x \) meters. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 204m and one side has a length of 16m, we can set up the equation as follows: \( 2 \times (16 + x) = 204 \). Solving for \( x \), we get \( 32 + 2x = 204 \), \( 2x = 172 \), and \( x = 86 \).

### Answer: 86.

Expected answer: 86

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 336 \) cm. Solving for \( s \), we have \( s = 336/4 = 84 \) cm.

### Answer: 84 cm

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?

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 144 \) meters. Solving for \( s \), we have \( s = 144/4 = 36 \) meters.

### Answer: 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?

GPT-3.5 Turbo:

Let the length of the fourth side be x cm.  
The perimeter of a quadrilateral is the sum of all its sides.  
So, 69 cm + 50 cm + 39 cm + x cm = 236 cm.  
Solving for x, we get x = 236 cm - 69 cm - 50 cm - 39 cm = 78 cm.  

### Answer: 78 cm.

Expected answer: 78

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the unknown side length be x cm. The perimeter of a quadrilateral is the sum of all its side lengths. So, we have the equation:
37 + 14 + 73 + x = 193
124 + x = 193
x = 193 - 124
x = 69

Therefore, the length of the unknown side of the quadrilateral is 69 cm.
### Answer: 69 cm.

Expected answer: 69

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 160 \). Solving for \( s \), we have \( s = 160/4 = 40 \) meters.

### Answer: 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?

GPT-3.5 Turbo:

Given that the perimeter of a rectangle is calculated as P = 2*(length + width), we can substitute the given values into the formula:
228 = 2*(90 + width)
Dividing both sides by 2, we get:
114 = 90 + width
Subtracting 90 from both sides, we find:
width = 114 - 90 = 24 meters
### Answer: 24 meters

Expected answer: 24

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of one side of the square field be \( x \) meters. Since all sides of a square are equal, the perimeter of the square is given by \( 4x = 136 \) meters.
Solving for \( x \):
\[ 4x = 136 \]
\[ x = \frac{136}{4} \]
\[ x = 34 \]
Therefore, the length of one side of the square field is \( \boxed{34} \) meters.
### Answer: 34

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?

GPT-3.5 Turbo:

Let the length of the opposite side be \( x \) meters. The perimeter of a rectangle is given by the formula \( P = 2l + 2w \), where \( l \) is the length and \( w \) is the width.

Given that the total perimeter is 236 meters, we have:
\[ 236 = 2(43) + 2x \]
\[ 236 = 86 + 2x \]
\[ 2x = 236 - 86 \]
\[ 2x = 150 \]
\[ x = 75 \]

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

### Answer: 75

Expected answer: 75

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the missing portion of the perimeter be x meters.  
Given that two sides together have a length of 58m, and the other two sides together have a length of 54m and 1m, we have:  
58 + 54 + 1 + x = 206  
113 + x = 206  
x = 206 - 113  
x = 93  

Therefore, the missing portion of the perimeter is 93 meters.  
### Answer: 93.

Expected answer: 93

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square field. Since a square has four equal sides, the perimeter is given by \( 4s \). We are given that the total perimeter is 284 meters, so we have the equation \( 4s = 284 \). Solving for \( s \), we get \( s = 284/4 = 71 \) meters.

### Answer: Each side of the square field is 71 meters.

Expected answer: 71

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the width of the rectangle be \( w \) feet. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the length is 69 feet and the perimeter is 150 feet, we have:

\[ 2 \times (69 + w) = 150 \]
\[ 138 + 2w = 150 \]
\[ 2w = 12 \]
\[ w = 6 \]

Therefore, the width of the rectangle is \( 6 \) feet.
### Answer: 6.

Expected answer: 6

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of the other side be \( x \) meters. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 166m and one side is 35m, we have:

\[ 2 \times (35 + x) = 166 \]
\[ 70 + 2x = 166 \]
\[ 2x = 96 \]
\[ x = 48 \]

Therefore, the other side is 48 meters long.
### Answer: 48.

Expected answer: 48

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of each side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 124 \) meters. Solving for \( s \), we have \( s = 124/4 = 31 \) meters.

### Answer: 31 meters.

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?

GPT-3.5 Turbo:

Let the length of the field be \( l \) and the width be \( w \).
Given that the perimeter is 336 feet, we have:
\[ 2l + 2w = 336 \]
\[ l + w = 168 \]
Given that the length of one side is 79 feet, we have:
\[ l = 79 \]
Substitute the value of \( l \) into the equation \( l + w = 168 \):
\[ 79 + w = 168 \]
\[ w = 168 - 79 \]
\[ w = 89 \]
So, the length of the opposite side is \(\boxed{89}\) feet.
### Answer: 89

Expected answer: 89

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of one side of the square be \( x \) meters. Since a square has all sides equal, the perimeter is given by \( 4x = 132 \) meters. Solving for \( x \), we have \( x = 132/4 = 33 \) meters.

### Answer: 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?

GPT-3.5 Turbo:

Let the width of the rectangle be \( w \) feet. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the length is 46 feet and the perimeter is 138 feet, we can set up the equation:

\[ 2 \times (46 + w) = 138 \]

Solving for \( w \):

\[ 2 \times 46 + 2w = 138 \]
\[ 92 + 2w = 138 \]
\[ 2w = 138 - 92 \]
\[ 2w = 46 \]
\[ w = 46 / 2 \]
\[ w = 23 \]

Therefore, the width of the rectangle is 23 feet.
### Answer: 23.

Expected answer: 23

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the width of the field be \( w \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the total perimeter is 200 meters and the length is 49 meters, we can set up the equation as follows:

\[ 2 \times (49 + w) = 200 \]
\[ 98 + 2w = 200 \]
\[ 2w = 102 \]
\[ w = 51 \]

Therefore, the width of the field is \( \boxed{51} \) meters.
### Answer: 51

Expected answer: 51

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of each side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 200 \) meters. Solving for \( s \), we have \( s = 200/4 = 50 \) meters.

### Answer: 50 meters.

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?

GPT-3.5 Turbo:

To find the length of the fourth side, we need to subtract the sum of the lengths of the three given sides from the perimeter of the quadrilateral.

Perimeter of the quadrilateral = 199m
Length of the first side = 9m
Length of the second side = 30m
Length of the third side = 71m

Sum of the lengths of the three given sides = 9m + 30m + 71m = 110m

Length of the fourth side = Perimeter - Sum of the lengths of the three given sides
Length of the fourth side = 199m - 110m = 89m

### Answer: 89m

Expected answer: 89

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Reasoning: The perimeter of a quadrilateral is the sum of all its four sides. Therefore, the length of the fourth side is:
Fourth side = Perimeter - Sum of the other three sides
Fourth side = 207 - (35 + 62 + 70)
Fourth side = 207 - 167
Fourth side = <<207-167=40>>40m

### Answer: 40m

Expected answer: 40

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the longer side be \( x \) cm. Since the perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \), we have:

\[ 2 \times (99 + x) = 384 \]
\[ 99 + x = 192 \]
\[ x = 192 - 99 \]
\[ x = 93 \]

Therefore, the length of the longer side of the rectangle is 93 cm.
### Answer: 93 cm.

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?

GPT-3.5 Turbo:

Reasoning: Let the length of the fourth side be \( x \) meters. The perimeter of a quadrilateral is the sum of all its sides, so we have:

\[ 78 + 15 + 63 + x = 255 \]

Solving for \( x \):

\[ 78 + 15 + 63 + x = 255 \]
\[ 156 + x = 255 \]
\[ x = 255 - 156 \]
\[ x = 99 \]

Therefore, the length of the fourth side is 99 meters.
### Answer: 99.

Expected answer: 99

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 128 \). Solving for \( s \), we have \( s = 128/4 = 32 \) meters.

### Answer: 32 meters.

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?

GPT-3.5 Turbo:

Let the length of one pair of opposite sides be \( l \) feet and the width be \( w \) feet. Since the perimeter of a rectangle is given by \( 2l + 2w \), we have:

\[ 2l + 2w = 96 \]

Given that one pair of opposite sides is 33 feet long, we have:

\[ 2(33) + 2w = 96 \]
\[ 66 + 2w = 96 \]
\[ 2w = 30 \]
\[ w = 15 \]

Therefore, the length of the other pair of opposite sides is \( 15 \) feet.

### Answer: 15.

Expected answer: 15

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Reasoning: The perimeter of a square is given by P = 4s, where s is the length of each side.
Given that the perimeter is 112 meters, we have 112 = 4s.
Dividing both sides by 4, we get s = 112/4 = 28.
Therefore, the length of each side of the square field is 28 meters.
### Answer: 28.

Expected answer: 28

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has all sides equal, the perimeter is given by \( 4s = 32 \) cm. Solving for \( s \), we have \( s = 32/4 = 8 \) cm.

### Answer: 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?

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 364 \)m. Solving for \( s \), we have \( s = \frac{364}{4} = 91 \)m.

### Answer: 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?

GPT-3.5 Turbo:

Let the length of the other side be \( x \) feet. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the total perimeter is 144 feet, we have:

\[ 2 \times (38 + x) = 144 \]
\[ 38 + x = 72 \]
\[ x = 72 - 38 = 34 \]

Therefore, the length of the other side of the rectangle is 34 feet.
### Answer: 34.

Expected answer: 34

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the lengths of the two sides that add up to 54m be x and y. Therefore, x + y = 54. Let the lengths of the other two sides be a and b, where a + b = 22 and a + b = 37. The perimeter of the quadrilateral is x + y + a + b = 205. Substituting the given values, we get x + y + a + b = 54 + 22 + 37 = 113. Therefore, the length of the remaining side to complete the perimeter is 205 - 113 = 92m.

### Answer: 92m.

Expected answer: 92

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the width of the field be \( w \) meters. The perimeter of a rectangle is given by the formula \( P = 2l + 2w \), where \( l \) is the length and \( w \) is the width.

Given that the length of the field is 65m and the perimeter is 174m, we have:
\[ 174 = 2(65) + 2w \]
\[ 174 = 130 + 2w \]
\[ 44 = 2w \]
\[ w = 22 \]

Therefore, the width of the field is 22 meters.
### Answer: 22.

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?

GPT-3.5 Turbo:

Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all four sides. Therefore, the length of the fourth side is:
\(176 - (25 + 17 + 89) = 176 - 131 = 45\) cm.

### Answer: 45 cm.

Expected answer: 45

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 372 \) meters. Solving for \( s \), we have \( s = 372/4 = 93 \) meters.

### Answer: 93 meters.

Expected answer: 93

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of one side of the square field be \( x \) meters. Since a square has all sides of equal length, the perimeter of the square is given by \( 4x = 240 \) meters. Solving for \( x \), we have \( x = 240/4 = 60 \) meters.

### Answer: The length of one side of the square 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?

GPT-3.5 Turbo:

Let the length of the other side be \( x \) meters. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 242 meters and one side is 97 meters, we can set up the equation:

\[ 2 \times (97 + x) = 242 \]

Solving for \( x \):

\[ 2 \times 97 + 2x = 242 \]
\[ 194 + 2x = 242 \]
\[ 2x = 48 \]
\[ x = 24 \]

Therefore, the length of the other side is 24 meters.
### Answer: 24.

Expected answer: 24

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of each side of the square be \( x \) meters. Since a square has all sides of equal length, the total perimeter is given by \( 4x \). We are given that the total perimeter is 316 meters, so we have the equation:

\[ 4x = 316 \]

Dividing both sides by 4, we find:

\[ x = \frac{316}{4} = 79 \]

Therefore, each side of the square is 79 meters long.

### Answer: 79.

Expected answer: 79

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 268 \) cm. Solving for \( s \), we have \( s = 268/4 = 67 \) cm.

### Answer: 67 cm

Expected answer: 67

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of each side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 348 \) meters. Solving for \( s \), we have \( s = 348/4 = 87 \) meters.

### Answer: 87 meters.

Expected answer: 87

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 400 \). Solving for \( s \), we have \( s = \frac{400}{4} = 100 \) meters.

### Answer: 100 meters.

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?

GPT-3.5 Turbo:

Let the length of the fourth side be x meters. The perimeter of a quadrilateral is the sum of all its side lengths, so we have:

81m + 100m + 19m + x = 243m.

Combining like terms, we get:

200m + x = 243m,
x = 243m - 200m,
x = 43m.

Therefore, the length of the fourth side is 43 meters.
### Answer: 43m.

Expected answer: 43

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of the other side be \( x \) cm. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 186 cm and one side is 50 cm, we have:

\[ 2 \times (50 + x) = 186 \]
\[ 100 + 2x = 186 \]
\[ 2x = 186 - 100 \]
\[ 2x = 86 \]
\[ x = 86/2 \]
\[ x = 43 \]

Therefore, the length of the other side is 43 cm.
### Answer: 43 cm.

Expected answer: 43

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the adjacent side be \( x \) cm. Since the perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \), we have:

\[ 2 \times (78 + x) = 224 \]

Solving for \( x \):

\[ 78 + x = 112 \]

\[ x = 112 - 78 = 34 \]

Therefore, the length of the adjacent side is 34 cm.

### Answer: 34 cm.

Expected answer: 34

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the fourth side be \( x \) meters.  
The total perimeter is the sum of all four sides:  
\[ 79 + 97 + 51 + x = 235 \]  
\[ 227 + x = 235 \]  
\[ x = 235 - 227 \]  
\[ x = 8 \]  

Therefore, the length of the fourth side is 8 meters.  
### Answer: 8.

Expected answer: 8

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of one side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 28 \) meters. Solving for \( s \), we have \( s = \frac{28}{4} = 7 \) meters.

### Answer: 7 meters.

Expected answer: 7

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 48 \). Solving for \( s \), we have \( s = \frac{48}{4} = 12 \) cm.

### Answer: 12 cm

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?

GPT-3.5 Turbo:

Let the length of one side of the square plot be \( x \) meters. Since a square has all sides equal, the perimeter of the square is given by \( 4x \). We are given that the perimeter is 184 meters, so we have the equation:

\[ 4x = 184 \]

Dividing both sides by 4, we get:

\[ x = 184/4 = 46 \]

Therefore, the length of one side of the square plot is 46 meters.
### Answer: 46 meters.

Expected answer: 46

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 56 \) meters. Solving for \( s \), we have \( s = 56/4 = 14 \) meters.

### Answer: 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?

GPT-3.5 Turbo:

Reasoning: The perimeter of a quadrilateral is the sum of all its four sides. Given that one side is 97m, and the other two sides are 5m and 30m, the sum of these three sides is 97 + 5 + 30 = 132m. Therefore, the length of the fourth side to complete the perimeter is 157 - 132 = 25m.

### Answer: 25m.

Expected answer: 25

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

To find the length of the fourth side, we need to subtract the sum of the lengths of the first three sides from the perimeter of the quadrilateral.

Perimeter of the quadrilateral = 173m
Length of the first side = 46m
Length of the second side = 50m
Length of the third side = 35m

Sum of the lengths of the first three sides = 46m + 50m + 35m = 131m

Length of the fourth side = Perimeter - Sum of the lengths of the first three sides
Length of the fourth side = 173m - 131m = 42m

### Answer: 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?

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 72 \) cm. Solving for \( s \), we have \( s = 72/4 = 18 \) cm.

### Answer: 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?

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 352 \)m. Solving for \( s \), we have \( s = 352/4 = 88 \)m.

### Answer: 88m

Expected answer: 88

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the width of the rectangle be \( w \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the total perimeter is 116m and the length is 23m, we have:

\[ 2 \times (23 + w) = 116 \]
\[ 23 + w = 58 \]
\[ w = 58 - 23 = 35 \]

Therefore, the width of the rectangle is 35 meters.
### Answer: 35.

Expected answer: 35

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Given that a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Perimeter of the square = 124m
Length of each side = Perimeter/4 = 124m/4 = <<124/4=31>>31m.
### Answer: 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?

GPT-3.5 Turbo:

Reasoning: The sum of the lengths of the three known sides is 24 + 57 + 17 = 98m. Therefore, the length of the fourth side is 131 - 98 = 33m.
### Answer: 33m

Expected answer: 33

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the other side be \( x \) meters. The perimeter of a rectangle is given by \( 2 \times (\text{length} + \text{width}) \). Given that the perimeter is 254m and one side is 89m, we have \( 2 \times (89 + x) = 254 \). Solving for \( x \):

\[ 2 \times (89 + x) = 254 \]
\[ 89 + x = 127 \]
\[ x = 127 - 89 \]
\[ x = 38 \]

Therefore, the length of the other side is 38m.
### Answer: 38.

Expected answer: 38

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 208 \)m. Solving for \( s \), we have \( s = 208/4 = 52 \)m.

### Answer: 52m

Expected answer: 52

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Given that the perimeter of a square is the sum of all its sides, we have:
4s = 64, where s is the length of each side of the square.
Dividing both sides by 4, we get:
s = 64/4 = 16.
Therefore, each side of the square is 16m long.
### Answer: 16.

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?

GPT-3.5 Turbo:

Let the length of the fourth side be x meters.

Given that the total perimeter is 196 meters, we have:
92 + 29 + 62 + x = 196
183 + x = 196
x = 196 - 183
x = 13

Therefore, the length of the fourth side is 13 meters.
### Answer: 13.

Expected answer: 13

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the fourth side be x units.
The perimeter of a quadrilateral is the sum of all its sides, so we have:
35 + 76 + 5 + x = 191
Simplifying the equation, we get:
116 + x = 191
Subtracting 116 from both sides, we find:
x = 191 - 116
x = 75
Therefore, the length of the fourth side is 75 units.
### Answer: 75

Expected answer: 75

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 104 \)m. Solving for \( s \), we have \( s = 104/4 = 26 \)m.

### Answer: The length of each side 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?

GPT-3.5 Turbo:

Let the width of the rectangle be \( w \) cm. The perimeter of a rectangle is given by the formula \( 2 \times (\text{length} + \text{width}) \). Given that the length is 90 cm and the perimeter is 198 cm, we have:

\[ 2 \times (90 + w) = 198 \]
\[ 180 + 2w = 198 \]
\[ 2w = 18 \]
\[ w = 9 \]

Therefore, the width of the rectangle is 9 cm.
### Answer: 9 cm.

Expected answer: 9

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the remaining two opposite sides be x feet each.
The total perimeter of a rectangle is given by P = 2*(length + width).
Given that one pair of opposite sides is 47 feet each, we have 2*47 + 2*x = 128.
Simplifying the equation, we get 94 + 2x = 128.
Subtracting 94 from both sides, we get 2x = 34.
Dividing by 2, we find x = 17.
Therefore, the length of the remaining two opposite sides should be 17 feet each.
### Answer: 17.

Expected answer: 17

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 356 \)m. Solving for \( s \), we have \( s = 356/4 = 89 \)m.

### Answer: 89m

Expected answer: 89

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of the fourth side be x units.  
Given that the perimeter of the quadrilateral is 236 units, we have:  
89 + 87 + 1 + x = 236  
177 + x = 236  
x = 236 - 177  
x = 59  

Therefore, the length of the fourth side is 59 units.  
### Answer: 59

Expected answer: 59

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of each side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 340 \) meters. Solving for \( s \), we have \( s = 340/4 = 85 \) meters.

### Answer: 85 meters.

Expected answer: 85

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Given that the perimeter of a square is the sum of all its sides, we have that the perimeter of a square with side length \( s \) is \( 4s \). We are given that the perimeter is 16m, so we have the equation \( 4s = 16 \). Solving for \( s \), we get \( s = 16/4 = 4 \) meters.

### Answer: 4 meters.

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?

GPT-3.5 Turbo:

Reasoning: The total perimeter of a quadrilateral is the sum of all its sides. Given that the total perimeter is 81m, and the lengths of the first three sides are 1m, 54m, and 9m, the length of the fourth side can be found by subtracting the sum of the lengths of the first three sides from the total perimeter:
Fourth side = Total perimeter - (First side + Second side + Third side)
Fourth side = 81m - (1m + 54m + 9m)
Fourth side = 81m - 64m
Fourth side = <<81-64=17>>17m

### Answer: 17m

Expected answer: 17

Correct? Yes

🔗 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?

GPT-3.5 Turbo:

Let the length of each side of the square be \( x \) meters. Since a square has all sides equal, the perimeter of the square is given by \( 4x \). Given that the total perimeter is 316m, we have:

\[ 4x = 316 \]

Solving for \( x \):

\[ x = \frac{316}{4} = 79 \text{ meters} \]

Therefore, the length of each side of the square is 79 meters.

### Answer: 79 meters.

Expected answer: 79

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Given that the perimeter of a square is the sum of the lengths of all its sides, we have:
4s = 300, where s is the length of each side of the square.
Dividing both sides by 4, we get:
s = 300/4 = 75.
Therefore, each side of the square is 75 meters long.
### Answer: 75 meters.

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?

GPT-3.5 Turbo:

Let the length of the remaining side be \( x \) meters.

The perimeter of a quadrilateral is the sum of the lengths of all its sides. Therefore, we have:

\( 19 + 57 + 22 + x = 198 \)

Combining like terms, we get:

\( 98 + x = 198 \)

Subtracting 98 from both sides, we find:

\( x = 100 \)

Therefore, the length of the remaining side is 100 meters.

### Answer: 100

Expected answer: 100

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of each side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 172 \) meters. Solving for \( s \), we have \( s = 172/4 = 43 \) meters.

### Answer: 43 meters.

Expected answer: 43

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 304 \) cm. Solving for \( s \), we have \( s = 304/4 = 76 \) cm.

### Answer: 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?

GPT-3.5 Turbo:

Let the length of each longer side be \( x \) meters. Since a rectangle has two pairs of equal sides, the total perimeter is given by \( 2(51) + 2x = 158 \) meters.
Solving for \( x \):
\[ 102 + 2x = 158 \]
\[ 2x = 56 \]
\[ x = 28 \]
Therefore, each longer side is \( \boxed{28} \) meters long.
### Answer: 28

Expected answer: 28

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let the length of one side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 72 \) meters. Solving for \( s \), we have \( s = 72/4 = 18 \) meters.

### Answer: 18 meters.

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?

GPT-3.5 Turbo:

Let the length of the other two sides be x meters each.
Since two opposite sides are 19m each, the total length of these two sides is 2*19 = 38m.
The total length of the fence is 166m, so the length of the other two sides is 166 - 38 = 128m.
Since the other two sides are equal in length, each side is x = 128/2 = <<128/2=64>>64 meters.
### Answer: 64.

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?

GPT-3.5 Turbo:

To find the length of the fourth side, we need to subtract the sum of the lengths of the three given sides from the perimeter of the quadrilateral.

Perimeter of the quadrilateral = 246m
Given sides: 40m, 32m, 95m

Sum of the lengths of the given sides = 40m + 32m + 95m = 167m

Length of the fourth side = Perimeter - Sum of given sides
Length of the fourth side = 246m - 167m = 79m

### Answer: 79m

Expected answer: 79

Correct? Yes

🔗 Problem

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

GPT-3.5 Turbo:

Let \( s \) be the length of one side of the square. Since a square has four equal sides, the perimeter is given by \( 4s = 32 \). Solving for \( s \), we have \( s = 32/4 = 8 \) meters.

### Answer: 8 meters.

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?

GPT-3.5 Turbo:

Let the length of one side of the square be \( s \) meters. Since a square has four equal sides, the perimeter is given by \( 4s = 12 \) meters. Solving for \( s \), we have \( s = 12/4 = 3 \) meters.

### Answer: 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?

GPT-3.5 Turbo:

Reasoning: The perimeter of a quadrilateral is the sum of all its sides. Therefore, the length of the fourth side is 160 - 29 - 16 - 41 = 74m.
### Answer: 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?

GPT-3.5 Turbo:

Let the length of the rectangle be \( l \) meters. The perimeter of a rectangle is given by \( 2l + 2w \), where \( w \) is the width of the rectangle. We are given that the perimeter is 98m, so we have:

\[ 2l + 2w = 98 \]

We are also given that one of the sides is 5m long, so we have:

\[ 2(5) + 2l = 98 \]
\[ 10 + 2l = 98 \]
\[ 2l = 88 \]
\[ l = 44 \]

Therefore, the length of the other side is 44m.
### Answer: 44.

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?

GPT-3.5 Turbo:

Let the length of the other two sides be x meters each. The perimeter of a rectangle is given by the formula: 2(length + width).

Given that the total perimeter is 210m, we have:
2(45 + x + x) = 210
2(45 + 2x) = 210
90 + 4x = 210
4x = 210 - 90
4x = 120
x = 120/4
x = 30

Therefore, the length of each of the other two sides is 30 meters.
### Answer: 30.

Expected answer: 60

Correct? No