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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
We know that the perimeter is 324 meters and the length is 83 meters.
So, we can write the equation as 324 = 2(83 + w).
Solving for w, we get w = (324 - 2*83)/2 = <<(324 - 2*83)/2=79>>79 meters.
### Answer: 79

Expected answer: 79

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
The length of each side is 40m / 4 = <<40/4=10>>10m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 344m / 4 = <<344/4=86>>86m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of each side of the square is 348m / 4 = <<348/4=87>>87m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula 2*(length + width). Let's denote the unknown side as width. We have 2*(49 + width) = 194. Solving for width, we get 49 + width = 194/2 = <<194/2=97>>97. Therefore, width = 97 - 49 = <<97-49=48>>48 cm.
### Answer: 48

Expected answer: 48

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 192m / 4 = <<192/4=48>>48m
### Answer: 48m

Expected answer: 48

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of one side is 68cm / 4 = <<68/4=17>>17cm.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of all its sides. Since a rectangle has two pairs of equal sides, we can represent the length of the other side as 'x'. Therefore, the perimeter can be expressed as 2(4 + x) = 52. Solving for x, we get 4 + x = 26, and thus x = 22.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all four sides.
The sum of the lengths of the first three sides is 93+98+36 = <<93+98+36=227>>227m.
The length of the fourth side is the perimeter minus the sum of the lengths of the first three sides, which is 229-227 = <<229-227=2>>2m.
### Answer: 2

Expected answer: 2

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of each side of the square is 16m / 4 = <<16/4=4>>4m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 272m / 4 = <<272/4=68>>68m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
The length of each side of the square is 244m / 4 = <<244/4=61>>61m.
### 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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side of the quadrilateral is 227-(70+29+61) = <<227-(70+29+61)=67>>67m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is 4 times the length of its side.
The length of the side of the square is 280/4 = <<280/4=70>>70m.
### Answer: 70

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides.
Let the length of the fourth side be x.
Then, the perimeter of the quadrilateral is 37+98+41+x = 219.
Solving for x, we get x = 219-37-98-41 = <<219-37-98-41=43>>43.
### Answer: 43

Expected answer: 43

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 44m / 4 = <<44/4=11>>11m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. We are given that the perimeter is 282 meters and the length is 71 meters. Substituting these values into the formula, we get 282 = 2(71 + w). Solving for w, we get w = (282 - 142) / 2 = <<(282-142)/2=70>>70 meters.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. In this case, we know that the perimeter is 128 meters and the width is 57 meters. We can use this information to solve for the length.
First, we can substitute the known values into the formula: 128 = 2(l + 57).
Next, we can simplify the equation by dividing both sides by 2: 64 = l + 57.
Finally, we can solve for l by subtracting 57 from both sides: l = 64 - 57 = 7.
Therefore, the length of the other side of the garden 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 392m / 4 = <<392/4=98>>98m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of all its sides. If one side is 16m, then the other side is (204-16)/2 = <<(204-16)/2=94>>94m.
### Answer: 94

Expected answer: 86

Correct? No

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 336cm / 4 = <<336/4=84>>84cm
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of the lengths of all four sides. Since all sides of a square are equal, we can divide the perimeter by 4 to find the length of one side.
144 meters / 4 = <<144/4=36>>36 meters
### Answer: 36 meters

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of all its sides.
Let the length of the fourth side be x.
Then, 69 + 50 + 39 + x = 236
158 + x = 236
x = 236 - 158
x = <<236-158=78>>78
### Answer: 78

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. We can find the unknown length by subtracting the sum of the known lengths from the total perimeter.
The sum of the known lengths is 37cm + 14cm + 73cm = <<37+14+73=124>>124cm.
The unknown length is 193cm - 124cm = <<193-124=69>>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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 160m / 4 = <<160/4=40>>40m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
Given that the perimeter P = 228 meters and the length l = 90 meters, we can substitute these values into the formula to find the width w.
228 = 2(90 + w)
Dividing both sides by 2, we get:
114 = 90 + w
Subtracting 90 from both sides, we get:
w = 114 - 90
w = <<114-90=24>>24 meters
### Answer: 24 meters

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since all sides are equal, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 136 / 4 = <<136/4=34>>34 meters.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width. Given that one side (let's assume it's the width) is 43 meters, and the perimeter is 236 meters, we can set up the equation: 236 = 2(43 + l). Simplifying, we get 236 = 86 + 2l. Subtracting 86 from both sides gives us 150 = 2l. Dividing both sides by 2, we find that l = 75 meters. Since opposite sides of a rectangle are equal, the length of the opposite side is also 75 meters.
### Answer: 75 meters

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?

Qwen2-Math 72B:

 Reasoning: The total length of the two known sides is 58m + 54m + 1m = <<58+54+1=113>>113m.
The missing portion of the perimeter is the difference between the total perimeter and the sum of the known sides, which is 206m - 113m = <<206-113=93>>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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of the lengths of all four sides. Since all sides of a square are equal, we can divide the perimeter by 4 to find the length of each side.
284 meters / 4 = <<284/4=71>>71 meters
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all four sides. Since the length of the rectangle is 69 feet, the other two sides must have a combined length of 150 - 69 = <<150-69=81>>81 feet.
Since the rectangle has two equal sides, each side must have a length of 81/2 = <<81/2=40.5>>40.5 feet.
Therefore, the width of the rectangle is 40.5 feet.
### Answer: 40.5

Expected answer: 6

Correct? No

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of all its sides. If one side is 35m, then the other side is also 35m (since opposite sides of a rectangle are equal). Therefore, the perimeter is 2*(35m + x), where x is the length of the other side. We can set up the equation 2*(35m + x) = 166m and solve for x.
2*(35m + x) = 166m
70m + 2x = 166m
2x = 166m - 70m
2x = 96m
x = 48m
### Answer: 48m

Expected answer: 48

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 124m / 4 = <<124/4=31>>31m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. Since the field is rectangular, it has two pairs of equal sides. Let's call the length of the opposite side "x". The perimeter is then 2*(79+x) = 336. Solving for x, we get x = (336-2*79)/2 = <<(336-2*79)/2=89>>89 feet.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its four sides. Since all sides of a square are equal, we can divide the perimeter by 4 to find the length of one side.
Length of one side = Perimeter / 4 = 132 / 4 = <<132/4=33>>33 meters
### Answer: 33 meters

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
Given that the perimeter P = 138 feet and the length l = 46 feet, we can substitute these values into the formula to find the width w.
138 = 2(46 + w)
138 = 92 + 2w
138 - 92 = 2w
46 = 2w
w = 46/2
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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula: Perimeter = 2 * (Length + Width).
Given that the perimeter is 200 meters and the length is 49 meters, we can set up the equation: 200 = 2 * (49 + Width).
Simplifying the equation, we get: 200 = 98 + 2 * Width.
Subtracting 98 from both sides, we have: 102 = 2 * Width.
Dividing both sides by 2, we find: Width = 51 meters.
### Answer: 51

Expected answer: 51

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 200m / 4 = <<200/4=50>>50m
### 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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 199-(9+30+71) = <<199-(9+30+71)=89>>89m.
### Answer: 89

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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 207-(35+62+70) = <<207-(35+62+70)=40>>40m.
### Answer: 40

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all four sides. Since the rectangle has two shorter sides and two longer sides, we can write the perimeter as 2*(shorter side + longer side). We know that the shorter side is 99cm, so we can substitute that into the equation: 2*(99 + longer side) = 384. Solving for the longer side, we get: 2*(99 + longer side) = 384, 198 + 2*(longer side) = 384, 2*(longer side) = 384 - 198, 2*(longer side) = 186, longer side = 186/2, longer side = 93.
### Answer: 93

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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 255-(78+15+63) = <<255-(78+15+63)=100>>100 m.
### Answer: 100

Expected answer: 99

Correct? No

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 128m / 4 = <<128/4=32>>32m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of all its sides. If two sides are 33 feet each, that's 33*2 = <<33*2=66>>66 feet. The remaining perimeter for the other two sides is 96-66 = <<96-66=30>>30 feet. Since these two sides are equal, each one is 30/2 = <<30/2=15>>15 feet long.
### Answer: 15

Expected answer: 15

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 112 / 4 = <<112/4=28>>28 meters.
### Answer: 28

Expected answer: 28

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 32 cm / 4 = <<32/4=8>>8 cm
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
The length of each side of the square is 364m / 4 = <<364/4=91>>91m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
We know that the perimeter is 144 feet and the length is 38 feet.
Substituting these values into the formula, we get 144 = 2(38 + w).
Simplifying, we get 144 = 76 + 2w.
Subtracting 76 from both sides, we get 68 = 2w.
Dividing both sides by 2, we get w = 34.
Therefore, 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?

Qwen2-Math 72B:

 Reasoning: The total length of the two known sides is 54m + 22m + 37m = <<54+22+37=113>>113m.
The remaining side length is the total perimeter minus the sum of the known sides, which is 205m - 113m = <<205-113=92>>92m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(L + W), where L is the length and W is the width.
Given that the perimeter P = 174m and the length L = 65m, we can substitute these values into the formula to find the width W.
174 = 2(65 + W)
174 = 130 + 2W
174 - 130 = 2W
44 = 2W
W = 44/2
W = 22m
### 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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 176-25-17-89 = <<176-25-17-89=45>>45 cm.
### Answer: 45

Expected answer: 45

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 372 / 4 = <<372/4=93>>93 meters.
### Answer: 93

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 240 / 4 = <<240/4=60>>60 meters.
### Answer: 60

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?

Qwen2-Math 72B:

 Reasoning: Let's denote the length of the other side as x. The perimeter of a rectangle is given by the formula P = 2*(length + width). Substituting the given values, we get 242 = 2*(97 + x). Solving for x, we get x = (242 - 2*97)/2 = <<(242 - 2*97)/2=24>>24 meters.
### Answer: 24 meters

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its four sides. Since all sides of a square are equal, we can find the length of one side by dividing the total perimeter by 4.
Length of each side = Total perimeter / 4 = 316 / 4 = <<316/4=79>>79 meters.
### Answer: 79

Expected answer: 79

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 268cm / 4 = <<268/4=67>>67cm
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 348m / 4 = <<348/4=87>>87m
### Answer: 87m

Expected answer: 87

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 400m / 4 = <<400/4=100>>100m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides.
Let the length of the fourth side be x.
Perimeter = 81m + 100m + 19m + x = 243m
200m + x = 243m
x = 243m - 200m
x = 43m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides.
Let the length of the other side be x cm.
Then, the perimeter of the rectangle is 2(50+x) = 186.
Solving for x, we get x = (186-100)/2 = <<(186-100)/2=43>>43.
### Answer: 43

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
Given that the perimeter is 224 cm and one side (length) is 78 cm, we can substitute these values into the formula to find the width.
224 = 2(78 + w)
Dividing both sides by 2, we get:
112 = 78 + w
Subtracting 78 from both sides, we get:
w = 112 - 78
w = <<112-78=34>>34 cm
### 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?

Qwen2-Math 72B:

 Reasoning: The sum of the three known sides is 79+97+51 = <<79+97+51=227>>227m.
The length of the fourth side is 235-227 = <<235-227=8>>8m.
### Answer: 8

Expected answer: 8

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of one side of the square is 28m / 4 = <<28/4=7>>7m.
### Answer: 7m

Expected answer: 7

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
The length of each side is 48cm / 4 = <<48/4=12>>12cm.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is given by 4 times the length of one side. Therefore, to find the length of one side, we divide the perimeter by 4.
Length of one side = 184/4 = <<184/4=46>>46 meters.
### Answer: 46

Expected answer: 46

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of the lengths of all four sides. Since all sides of a square are equal, we can divide the perimeter by 4 to find the length of each side.
56 meters / 4 = <<56/4=14>>14 meters
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. Given that the perimeter is 157m and three sides are 97m, 5m, and 30m, we can find the length of the fourth side by subtracting the sum of the lengths of the three known sides from the total perimeter.

The sum of the lengths of the three known sides is 97m + 5m + 30m = <<97+5+30=132>>132m.

Therefore, the length of the fourth side is 157m - 132m = <<157-132=25>>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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 173-46-50-35 = <<173-46-50-35=42>>42m.
### Answer: 42

Expected answer: 42

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of the lengths of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of one side of the square is 72 cm / 4 = <<72/4=18>>18 cm.
### Answer: 18

Expected answer: 18

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 352m / 4 = <<352/4=88>>88m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
Given that the length (l) is 23m and the perimeter (P) is 116m, we can substitute these values into the formula to find the width (w).
116 = 2(23 + w)
116 = 46 + 2w
116 - 46 = 2w
70 = 2w
w = 35
### Answer: 35m

Expected answer: 35

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 124m / 4 = <<124/4=31>>31m
### 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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 131-(24+57+17) = <<131-(24+57+17)=33>>33m.
### Answer: 33

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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all four sides. Since the rectangle has two sides of equal length, we can represent the length of the other side as x. Therefore, the perimeter can be expressed as 2(89+x) = 254. Solving for x, we get x = (254-2*89)/2 = <<(254-2*89)/2=38>>38.
### Answer: 38

Expected answer: 38

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
Length of each side = Perimeter / 4 = 208m / 4 = <<208/4=52>>52m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of each side of the square is 64m / 4 = <<64/4=16>>16m.
### 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?

Qwen2-Math 72B:

 Reasoning: The length of the fourth side is 196-183 = <<196-183=13>>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?

Qwen2-Math 72B:

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

Expected answer: 75

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of each side is 104m / 4 = <<104/4=26>>26m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.
Given that the perimeter P = 198 cm and the length l = 90 cm, we can substitute these values into the formula to find the width w.
198 = 2(90 + w)
198 = 180 + 2w
198 - 180 = 2w
18 = 2w
w = 18/2
w = 9 cm
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of all its sides. Since one pair of opposite sides is 47 feet each, their combined length is 47+47 = <<47+47=94>>94 feet.
The remaining perimeter for the other two sides is 128-94 = <<128-94=34>>34 feet.
Since the two remaining sides are equal in length, each side should be 34/2 = <<34/2=17>>17 feet.
### Answer: 17

Expected answer: 17

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 356m / 4 = <<356/4=89>>89m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. Therefore, the length of the fourth side can be found by subtracting the sum of the lengths of the other three sides from the perimeter. The sum of the lengths of the other three sides is 89 + 87 + 1 = <<89+87+1=177>>177 units. Therefore, the length of the fourth side is 236 - 177 = <<236-177=59>>59 units.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of each side of the square is 340/4 = <<340/4=85>>85 meters.
### Answer: 85

Expected answer: 85

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of each side by dividing the perimeter by 4.
The length of each side is 16m / 4 = <<16/4=4>>4m.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides.
The length of the fourth side is 81 - (1 + 54 + 9) = <<81-(1+54+9)=17>>17 meters.
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its four sides. Since all four sides are equal, we can divide the total perimeter by 4 to find the length of each side.
The length of each side of the square is 316/4 = <<316/4=79>>79m.
### Answer: 79m

Expected answer: 79

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 300m / 4 = <<300/4=75>>75m
### 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?

Qwen2-Math 72B:

 Reasoning: The sum of the lengths of the three known sides is 19+57+22 = <<19+57+22=98>>98m.
The length of the remaining side is 198-98 = <<198-98=100>>100m.
### Answer: 100

Expected answer: 100

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 172m / 4 = <<172/4=43>>43m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of one side of the square is 304 cm / 4 = <<304/4=76>>76 cm.
### 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?

Qwen2-Math 72B:

 Reasoning: The total length of the shorter sides is 51*2 = <<51*2=102>>102 meters.
The total length of the longer sides is 158-102 = <<158-102=56>>56 meters.
The length of each of the longer sides is 56/2 = <<56/2=28>>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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
The length of one side of the square is 72m / 4 = <<72/4=18>>18m.
### 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?

Qwen2-Math 72B:

 Reasoning: The total length of the two known sides is 19+19 = <<19+19=38>>38m.
The total length of the fence is 166m, so the combined length of the other two sides is 166-38 = <<166-38=128>>128m.
Since the other two sides are equal in length, each side is 128/2 = <<128/2=64>>64m.
### Answer: 64

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?

Qwen2-Math 72B:

 Reasoning: The sum of the lengths of the three known sides is 40+32+95 = <<40+32+95=167>>167m.
The length of the fourth side is 246-167 = <<246-167=79>>79m.
### Answer: 79

Expected answer: 79

Correct? Yes

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

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 32m / 4 = <<32/4=8>>8m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can find the length of one side by dividing the perimeter by 4.
Length of one side = Perimeter / 4 = 12 meters / 4 = <<12/4=3>>3 meters
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a quadrilateral is the sum of all its sides.
Let the length of the fourth side be x.
Therefore, 29m + 16m + 41m + x = 160m
86m + x = 160m
x = 160m - 86m
x = 74m
### 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?

Qwen2-Math 72B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides.
Let x be the length of the other side.
Perimeter = 2(length + width)
98 = 2(5 + x)
98 = 10 + 2x
88 = 2x
x = 44
### Answer: 44

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?

Qwen2-Math 72B:

 Reasoning: The total length of the two known sides is 45m+45m = <<45+45=90>>90m.
The total length of the other two sides is 210m-90m = <<210-90=120>>120m.
The length of each of the other two sides is 120m/2 = <<120/2=60>>60m.
### Answer: 60

Expected answer: 60

Correct? Yes