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

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

This standard covers the following:

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

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
324 = 2(83+w)
324 = 166+2w
162 = 2w
<<162/2=81>>81 = w
### Answer: 81

Expected answer: 79

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
40/4 = <<40/4=10>>10
### Answer: 10

Expected answer: 10

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 344/4 = <<344/4=86>>86 m.
### Answer: 86

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 348/4 = <<348/4=86.5>>86.5m.
### Answer: 86.5

Expected answer: 87

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of its length and width.
Let x be the width of the rectangle.
49 + x = 194
x = 194 - 49
x = 145
### Answer: 145

Expected answer: 48

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
4*<<side>> = 192
<<side>> = 192/4 = <<192/4=48>>48
### Answer: 48

Expected answer: 48

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
4*<<side>> = 68
<<side>> = 68/4 = <<68/4=17>>17
### Answer: 17

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the other side is <<52-4-4=44>>44 meters.
### Answer: 44

Expected answer: 22

Correct? No

🔗 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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 93+98+36 = <<93+98+36=227>>227m.
The length of the fourth side is 227-229 = <<227-229=-2>>-2m.
### 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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of each side.
The length of each side of this square is 16/4 = <<16/4=4>>4m.
### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
4*<<272/4=68>>68m is the length of each side of the square.
### Answer: 68

Expected answer: 68

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
4*<<244/4=61>>61m is the length of each side of the square.
### Answer: 61

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 70+29+61+x = <<70+29+61+x=160+x>>160+x.
Since the perimeter of the quadrilateral is 227m, we have 160+x = 227.
Subtracting 160 from both sides, we have x = 27.
### Answer: 27

Expected answer: 67

Correct? No

🔗 Problem

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

LLemma 7B:

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

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 37+98+41+x = <<37+98+41+x=219>>219.
x = <<219-136=83>>83cm.
### Answer: 83

Expected answer: 43

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
44/4 = <<44/4=11>>11m
### Answer: 11

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of its two sides.
The length of the shorter side is <<282-71=111>>111 meters.
### Answer: 111

Expected answer: 70

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the other side is 128 - 57 = <<128-57=69>>69 meters.
### Answer: 69

Expected answer: 7

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 392/4 = <<392/4=98>>98m.
### Answer: 98

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
Let x be the length of the other side.
204 = 16 + x
x = 204 - 16 = <<204-16=188>>188
### Answer: 188

Expected answer: 86

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 336/4 = <<336/4=84>>84cm.
### Answer: 84

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
4*<<144/4=36>>36 = 144
The length of one side of the square is 36 meters.
### Answer: 36

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 236 cm.
The length of two of its sides is 69 cm and 50 cm respectively.
The length of the third side is 39 cm.
The length of the fourth side is 236 - (69 + 50 + 39) = <<236 - (69 + 50 + 39) = 236 - 158 = 78>>78 cm.
### Answer: 78

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of its four sides.
The perimeter of the quadrilateral is 37+14+73+x = <<37+14+73+x=193>>193.
193-37-14-73 = <<193-37-14-73=0>>0.
x = <<193-37-14-73=0>>0.
### Answer: 0

Expected answer: 69

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
4*<<length of one side>> = 160
<<length of one side>> = 160/4 = <<160/4=40>>40
### Answer: 40

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
228 = 2(90+w)
228 = 180+2w
48 = 2w
w = 24
### Answer: 24

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
The length of one side of the field is <<136/4=34>>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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
236 = 2(43+w)
236 = 86+2w
236-86 = 86+2w-86
150 = 2w
150/2 = 2w/2
75 = w
### 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?

LLemma 7B:

 Reasoning: The perimeter of the quadrilateral is 206m. The two sides together have a length of 58m. The other two sides together have a length of 54m and 1m, respectively.
The missing portion of the perimeter is 206-58-54-1 = <<206-58-54-1=89>>89m.
### Answer: 89

Expected answer: 93

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
Let x be the length of one side of the square.
Then the perimeter of the square is 4x.
The perimeter of the square is 284 meters.
4x = 284
x = 284/4 = <<284/4=71>>71
Each side of the square is 71 meters long.
### Answer: 71

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of its length and width.
Let w be the width of the rectangle.
The perimeter of the rectangle is 150 feet.
The length of the rectangle is 69 feet.
The perimeter of the rectangle is 150 feet.
The length of the rectangle is 69 feet.
The width of the rectangle is w feet.
The perimeter of the rectangle is 150 feet.
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The perimeter of the rectangle is 150 feet.
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The perimeter of the rectangle is 150 feet.
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The perimeter of the rectangle is 150 feet.
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The perimeter of the rectangle is 150 feet.
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The perimeter of the rectangle is 

Expected answer: 6

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
35+w = <<35+w=166>>166
w = <<35+w=166>>166-35
w = <<35+w=166>>131
### Answer: 131

Expected answer: 48

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
Let x be the length of a side.
Then 4x = 124.
x = 124/4 = <<124/4=31>>31.
Each side is 31m long.
### Answer: 31

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the opposite side is 336 - 79 = <<336-79=257>>257 feet.
### Answer: 257

Expected answer: 89

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
The length of one side of the square is 132/4 = <<132/4=33>>33 meters.
### Answer: 33

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of its length and width.
Let w be the width of the rectangle.
The perimeter of the rectangle is 138 feet.
The length of the rectangle is 46 feet.
The perimeter of the rectangle is 46+w.
46+w = 138
w = 138-46
w = 92
### Answer: 92

Expected answer: 23

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of its length and width.
The length of the field is 49 meters.
The width of the field is 200 - 49 = <<200-49=151>>151 meters.
### Answer: 151

Expected answer: 51

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side is 200/4 = <<200/4=50>>50m.
### Answer: 50

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The length of the fourth side is 199-9-30-71 = <<199-9-30-71=59>>59m.
### Answer: 59

Expected answer: 89

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 35+62+70+x=20735+62+70+x=207.
x=20735+62+70x=207−35−62−70
x=207165x=207−165
x=42x=42
### Answer: 42

Expected answer: 40

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the longer side of the rectangle is 384-99 = <<384-99=285>>285cm.
### Answer: 285

Expected answer: 93

Correct? No

🔗 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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 78+15+63+x = <<78+15+63+x=156+x>>156+x m.
The perimeter of the quadrilateral is 156+x = 255.
156+x = 255
x = 255-156
x = 99
The length of the fourth side is 99 m.
### 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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 128/4 = <<128/4=32>>32m.
### Answer: 32

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its four sides.
The length of the other pair of opposite sides is 96 - 33 - 33 = <<96-33-33=20>>20 feet.
### Answer: 20

Expected answer: 15

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side is <<112/4=28>>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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 32/4 = <<32/4=8>>8 cm.
### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 364/4 = <<364/4=91>>91m.
### Answer: 91

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is found by adding the lengths of all the sides.
The length of the other side of the rectangle is 144 - 38 = <<144-38=106>>106 feet.
### Answer: 106

Expected answer: 34

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The length of the remaining side is 205-54-22-37 = <<205-54-22-37=134>>134m.
### Answer: 134

Expected answer: 92

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
The perimeter of the field is 174m.
The length of the field is 65m.
The width of the field is 174-2(65) = <<174-2(65)=174-130=44>>44m.
### Answer: 44

Expected answer: 22

Correct? No

🔗 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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 176 cm.
The lengths of three sides are 25 cm, 17 cm and 89 cm respectively.
The length of the fourth side is 176 - (25 + 17 + 89) = <<176 - (25 + 17 + 89) = 176 - 121 = 55>>55 cm.
### Answer: 55

Expected answer: 45

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
Let x be the length of a side.
The perimeter of a square is 4 times the length of a side.
372 = 4x
x = 372/4 = <<372/4=93>>93
Each side is 93 meters long.
### Answer: 93

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
The length of one side of the field is 240/4 = <<240/4=60>>60 meters.
### Answer: 60

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2 times the length plus 2 times the width.
242 = 2*97 + 2*w
242 = 194 + 2*w
242 - 194 = 2*w
48 = 2*w
24 = w
### 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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
Let x be the length of one side of the square.
The perimeter of the square is 4x.
316 = 4x
x = 316/4 = <<316/4=79.25>>79.25
The length of each side of the square is 79.25 meters.
### Answer: 79.25

Expected answer: 79

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.

268/4 = <<268/4=67>>67

Each side of the square is 67cm long.

### Answer: 67

Expected answer: 67

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 348/4 = <<348/4=87>>87m.
### Answer: 87

Expected answer: 87

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
400/4 = <<400/4=100>>100m
### Answer: 100

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 81+100+19+x = 243.
81+100+19+x = 243
x = 243-81-100-19
x = 243-280
x = <<243-280=-37>>-37
The length of the fourth side is 37m.
### Answer: 37

Expected answer: 43

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the other side is 186 - 50 = <<186-50=136>>136 cm.
### Answer: 136

Expected answer: 43

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the adjacent side is 224 - 78 = <<224-78=146>>146 cm.
### Answer: 146

Expected answer: 34

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 79+97+51+x = <<79+97+51+x=235>>235.
79+97+51+x = 235
x = 235-79-97-51 = <<235-79-97-51=66>>66
The length of the fourth side is 66m.
### Answer: 66

Expected answer: 8

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
The length of one side of this square is 28/4 = <<28/4=7>>7m.
### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
48/4 = <<48/4=12>>12
### Answer: 12

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
4*<<184/4=46>>46 = 184
The length of one side of the plot is 46 meters.
### Answer: 46

Expected answer: 46

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
56 = 4s
<<56/4=14>>14 = s
Each side is 14 meters long.
### Answer: 14

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The length of the fourth side is 157-97-5-30 = <<157-97-5-30=25>>25m.
### Answer: 25

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The length of the fourth side is 173 - (46 + 50 + 35) = <<173 - (46 + 50 + 35)=173 - 131=42>>42m.
### Answer: 42

Expected answer: 42

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 72/4 = <<72/4=18>>18 cm.
### Answer: 18

Expected answer: 18

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 352/4 = <<352/4=88>>88m.
### Answer: 88

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w), where l is the length and w is the width.
116 = 2(23+w)
116 = 46+2w
<<116-46=70>>70 = 2w
<<70/2=35>>35 = w
### Answer: 35

Expected answer: 35

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
4*<<side>> = 124
<<side>> = 124/4 = <<124/4=31>>31
### Answer: 31

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 24+57+17+x = <<24+57+17+x=131>>131.
24+57+17+x = 131
x = <<131-24-57-17=21>>21
The length of the fourth side is 21m.
### Answer: 21

Expected answer: 33

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
Let x be the length of the other side.
254 = 89 + x
x = 254 - 89
x = <<254-89=165>>165m
### Answer: 165

Expected answer: 38

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
4*<<side>> = 208
<<side>> = 208/4 = <<208/4=52>>52m
### Answer: 52

Expected answer: 52

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of the square is 64/4 = <<64/4=16>>16m.
### 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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 196 meters.
The lengths of three of its sides combined is 183 meters.
The length of the fourth side is 196-183 = <<196-183=13>>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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 35+76+5+x = <<35+76+5+x=191>>191 units.
35+76+5+x = 191
x = <<191-35-76-5=61>>61 units.
### Answer: 61

Expected answer: 75

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
Let x be the length of a side.
Then 4x = 104
x = 104/4 = <<104/4=26>>26
Each side is 26m long.
### Answer: 26

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w) where l is the length and w is the width.
2(90+w) = 198
90+w = 198/2 = <<198/2=99>>99
w = 99-90 = <<99-90=9>>9
### Answer: 9

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its four sides.
The length of the remaining two opposite sides is 128 - 47 = <<128-47=81>>81 feet.
### Answer: 81

Expected answer: 17

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 356/4 = <<356/4=86.5>>86.5m.
### Answer: 86.5

Expected answer: 89

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The perimeter of the quadrilateral is 236 units.
The length of the first side is 89 units.
The length of the second side is 87 units.
The length of the third side is 1 unit.
The length of the fourth side is 236 - (89 + 87 + 1) = <<236 - (89 + 87 + 1) = 60>>60 units.
### Answer: 60

Expected answer: 59

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side of this square is 340/4 = <<340/4=85>>85 meters.
### Answer: 85

Expected answer: 85

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
The length of each side is 16/4 = <<16/4=4>>4m.
### Answer: 4

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?

LLemma 7B:

 Reasoning: The total perimeter of the quadrilateral is 1+54+9+x=81.
x=81-62=19.
The length of the fourth side is 19m.
### Answer: 19

Expected answer: 17

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
Let x be the length of one side of the square.
The perimeter of the square is 4x.
The perimeter of the square is 316m.
4x = 316
x = 316/4 = <<316/4=79.25>>79.25m
Each side of the square is 79.25m.
### Answer: 79.25

Expected answer: 79

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
Each side of the square is 300/4 = <<300/4=75>>75m.
### Answer: 75

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 198m.
The length of one side is 19m.
The length of another side is 57m.
The length of another side is 22m.
The length of the remaining side is 198-19-57-22 = <<198-19-57-22=52>>52m.
### Answer: 52

Expected answer: 100

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of a side.
4*<<side>> = 172
<<side>> = 172/4 = <<172/4=43>>43
### Answer: 43

Expected answer: 43

Correct? Yes

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 304/4 = <<304/4=76>>76 cm.
### Answer: 76

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the longer side is 158 - 2(51) = <<158-2*51=55>>55 meters.
### Answer: 55

Expected answer: 28

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 72/4 = <<72/4=18>>18m.
### Answer: 18

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?

LLemma 7B:

 Reasoning: The total length of the fence is 19+19+<<19+19=38>>38+<<166-38=128>>128.
Each of the other two sides is 128/2 = <<128/2=64>>64.
### 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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The length of the fourth side is 246 - 40 - 32 - 95 = <<246-40-32-95=25>>25m.
### Answer: 25

Expected answer: 79

Correct? No

🔗 Problem

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

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one of its sides.
The length of one of its sides is 32/4 = <<32/4=8>>8m.
### Answer: 8

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?

LLemma 7B:

 Reasoning: The perimeter of a square is 4 times the length of one side.
The length of one side of the square is 12/4 = <<12/4=3>>3 meters.
### Answer: 3

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?

LLemma 7B:

 Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides.
The perimeter of the quadrilateral is 160m.
The three known sides have lengths of 29m, 16m, and 41m.
The fourth side has a length of <<160-29-16-41=160-86=74>>74m.
### Answer: 74

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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is the sum of the lengths of its sides.
The length of the other side is 98-5 = <<98-5=93>>93m.
### Answer: 93

Expected answer: 44

Correct? No

🔗 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?

LLemma 7B:

 Reasoning: The perimeter of a rectangle is 2(l+w), where l is the length and w is the width.
210 = 2(45+w)
210/2 = 45+w
<<210/2=105>>105 = 45+w
<<105-45=60>>60 = w
The length of each of the other two sides is 60m.
### Answer: 60

Expected answer: 60

Correct? Yes