Problem: A sum of several measurements taken along the edge of a plot of land totals to 368 miles. The individual measurements are 41 miles, 28 miles, 90 miles, 32 miles, 10 miles, and 98 miles. What is the remaining measurement that hasn't been included in the total yet?

LLemma 7B:

 Reasoning: The sum of the measurements is 41+28+90+32+10+98 = <<41+28+90+32+10+98=279>>279 miles.
The remaining measurement is 368-279 = <<368-279=89>>89 miles.
### Answer: 89

Expected answer: 69

Correct? No

Problem: A regular pentagon has side lengths of 70cm, 36cm, 53cm, and 45cm. If the total perimeter of the pentagon is 300cm, what is the length of its fifth side?

LLemma 7B:

 Reasoning: The perimeter of a pentagon is the sum of the lengths of its sides.
The total perimeter of the pentagon is 300cm.
The length of the fifth side is 300 - (70+36+53+45) = <<300-(70+36+53+45)=300-174=126>>126cm.
### Answer: 126

Expected answer: 96

Correct? No

Problem: A regular nonagon (9-sided polygon) has side lengths of 14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm. If the perimeter of the nonagon is 521cm, what is the length of the ninth side?

LLemma 7B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of its sides.
The perimeter of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of the lengths of the sides of the nonagon is 521cm.
The sum of

Expected answer: 69

Correct? No

Problem: A polygon has sides measuring 54cm, 51cm, 5cm, 22cm, and 93cm. If the total perimeter of the polygon is 274cm, what is the length of the sixth side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is 274cm.
The total perimeter of the polygon is 54+51+5+22+93 = <<54+51+5+22+93=274>>274cm.
The length of the sixth side is 274-274 = <<274-274=0>>0cm.
### Answer: 0

Expected answer: 49

Correct? No

Problem: A regular pentagon has a perimeter of 310 m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
5s = 310
s = 310/5 = <<310/5=62>>62 m
### Answer: 62

Expected answer: 62

Correct? Yes

Problem: A polygon has side lengths of 78cm, 93cm, 21cm, 4cm, and 21cm. If the total perimeter of the shape is 315cm, then what is the length of the last side?

LLemma 7B:

 Reasoning: 78+93+21+4+21=<<78+93+21+4+21=315>>315
78+93+21+4+21=315
4+21=<<4+21=25>>25
21+25=<<21+25=46>>46
93+46=<<93+46=139>>139
139+78=<<139+78=217>>217
217+21=<<217+21=238>>238
238+93=<<238+93=331>>331
331+78=<<331+78=409>>409
409+21=<<409+21=430>>430
430+93=<<430+93=523>>523
523+78=<<523+78=601>>601
601+21=<<601+21=622>>622
622+93=<<622+93=715>>715
715+78=<<715+78=793>>793
793+21=<<793+21=814>>814
814+93=<<814+93=907>>907
907+78=<<907+78=985>>985
985+21=<<985+21=1006>>1006
1006+93=<<1006+93=1099>>1099
1099+78=<<1099+78=1177>>1177
1177+21=<<1177+21=1198>>1198
1198+93=<<1198+93=1291>>1291
1291+78=<<1291+78=1369>>1369
1369+21=<<1369+21=1390>>1390
1390+93=<<1390+93=1483>>1483
1483+78=<<1483+78=1561>>1561
1561+21=<<1561+21=1582>>1582
1582+93=<<1582+93=1675>>1675
1675+78=<<1675+78=1753>>1753
1753+21=<<1753+21=1774>>1774
1774+93=<<1774+93=1867>>1867
1867+78=<<1867+78=1945>>1945
1945+21=<<1945+21=1966>>1966
1966+93=<<1966+93=2059>>2059
2059+78=<<2059+78=2137>>2137
2137+21=<<2137+21=2158>>2158
2158+93=<<2158+93=2251>>2251
2251+78=<<2251+78=2329>>2329
2329+21=<<2329+21=23

Expected answer: 98

Correct? No

Problem: A regular 8-sided polygon, an octagon, has a perimeter of 160m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of its sides.
The length of each side of the octagon is <<160/8=20>>20m.
### Answer: 20

Expected answer: 20

Correct? Yes

Problem: Consider an octagon. Its seven sides have lengths 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm. What is the length of the other side if the total perimeter of the octagon is 224cm?

LLemma 7B:

 Reasoning: The total perimeter of the octagon is the sum of the lengths of its seven sides.
The total perimeter of the octagon is 6+4+95+34+19+14+26 = <<6+4+95+34+19+14+26=224>>224cm.
The length of the other side is 224-6-4-95-34-19-14 = <<224-6-4-95-34-19-14=26>>26cm.
### Answer: 26

Expected answer: 26

Correct? Yes

Problem: A regular hexagon has a perimeter of 174 meters. If all sides are equal, what is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 174
s = 174/6 = <<174/6=29>>29
### Answer: 29

Expected answer: 29

Correct? Yes

Problem: A dodecagon has side lengths of 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm. The total perimeter of the dodecagon is 538cm. What is the length of the 11th side?

LLemma 7B:

 Reasoning: The total perimeter of the dodecagon is 12 times the length of one side.
538 = 12*<<538/12=44.5>>44.5
The length of the 11th side is 44.5cm.
### Answer: 44.5

Expected answer: 96

Correct? No

Problem: A hexagon has five side lengths of 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm. What should be the length of the last side so that the sum of lengths of all sides is 357 cm?

LLemma 7B:

 Reasoning: The sum of lengths of all sides is 357 cm.
The sum of lengths of all sides is 357 cm.
### Answer: 357

Expected answer: 50

Correct? No

Problem: A regular octagon has a perimeter of 544m. What is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*s, where s is the length of one side.
8*s = 544
s = 544/8 = <<544/8=68>>68
### Answer: 68

Expected answer: 68

Correct? Yes

Problem: The perimeter of a regular decagon (10-sided polygon) is 960m. Find the length of one side.

LLemma 7B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of one side.
The length of one side is 960/10 = <<960/10=96>>96m.
### Answer: 96

Expected answer: 96

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has an unknown side length. If its total perimeter is 203m, how long is each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s, where s is the side length.
203 = 7s
<<203/7=29>>29 = s
### Answer: 29

Expected answer: 29

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 49 meters. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s, where s is the length of each side.
7s = 49
s = 49/7 = <<49/7=7>>7
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: The perimeter of a regular heptagon is 329m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
329 = 7s
<<329/7=47>>47 = s
### Answer: 47

Expected answer: 47

Correct? Yes

Problem: The sides of a heptagon have lengths of 86m, 80m, 47m, 93m, and 99m. If the total perimeter of the heptagon is 486m, what is the length of the sixth side?

LLemma 7B:

 Reasoning: The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is 486m.
The total perimeter of the heptagon is

Expected answer: 81

Correct? No

Problem: A regular heptagon has a perimeter of 546m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular heptagon has 7 sides.
The perimeter of a regular heptagon is 7s.
546 = 7s
<<546/7=77>>77 = s
### Answer: 77

Expected answer: 78

Correct? No

Problem: A nonagon (nine-sided polygon) has 8 of its sides with lengths 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm, respectively. If the perimeter of the nonagon is 532cm, what is the length of the ninth side?

LLemma 7B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of its sides.
The perimeter of the nonagon is 532cm.
The lengths of the sides of the nonagon are 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, 100cm, and the length of the ninth side.
The sum of the lengths of the sides of the nonagon is 532cm.
The length of the ninth side is 532 - (26+45+75+68+63+80+100) = <<532-(26+45+75+68+63+80+100)=532-(468)=104>>104cm.
### Answer: 104

Expected answer: 75

Correct? No

Problem: The sides of a decagon are 62m, 76m, 98m, 74m, another unknown side, 54m, 4m, 24m, and 48m respectively. All sides are equal in length. If the perimeter of the shape is 452m, what is the length of the unknown side?

LLemma 7B:

 Reasoning: The perimeter of a decagon is 10s, where s is the length of one side.
The perimeter of the decagon is 10(62) = <<10*62=620>>620m.
The perimeter of the decagon is 10(76) = <<10*76=760>>760m.
The perimeter of the decagon is 10(98) = <<10*98=980>>980m.
The perimeter of the decagon is 10(74) = <<10*74=740>>740m.
The perimeter of the decagon is 10(54) = <<10*54=540>>540m.
The perimeter of the decagon is 10(4) = <<10*4=40>>40m.
The perimeter of the decagon is 10(24) = <<10*24=240>>240m.
The perimeter of the decagon is 10(48) = <<10*48=480>>480m.
The perimeter of the decagon is 10(<<unknown>>) = <<10*<<unknown>>=452>>452m.
452 = 620 + 760 + 980 + 740 + 540 + 40 + 240 + 480 + <<unknown>>
452 = 6200 + <<unknown>>
<<unknown>> = 6200 - 452
<<unknown>> = 5748
### Answer: 5748

Expected answer: 12

Correct? No

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 78
s = 78/6 = <<78/6=13>>13
Each side is 13m long.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular nonagon has a perimeter of 171m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular nonagon has 9 sides.
The perimeter of a regular nonagon is 9s.
171 = 9s
<<171/9=19>>19 = s
### Answer: 19

Expected answer: 19

Correct? Yes

Problem: A nonagon has the following side lengths: 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55cm, and 68cm. It also has one unknown side length. The overall perimeter of the nonagon is 318 cm. What is the length of the unknown side?

LLemma 7B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of its sides.
The perimeter of the nonagon is 8+17+30+17+86+55+68 = <<8+17+30+17+86+55+68=318>>318 cm.
The unknown side length is 318-8-17-30-17-86-55 = <<318-8-17-30-17-86-55=68>>68 cm.
### Answer: 68

Expected answer: 37

Correct? No

Problem: An 11-sided regular polygon has a perimeter of 858m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of its sides.
The length of each side of the polygon is <<858/11=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A regular decagon has a perimeter of 360m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular decagon has 10 sides.
The perimeter of a regular decagon is 10s.
360 = 10s
s = 360/10 = <<360/10=36>>36
Each side is 36m.
### Answer: 36

Expected answer: 36

Correct? Yes

Problem: A regular hexagon has a perimeter of 522m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6*x = 522
x = 522/6 = <<522/6=87>>87
Each side is 87m long.
### Answer: 87

Expected answer: 87

Correct? Yes

Problem: A regular polygon has a perimeter of 418m. If each side is the same length, what is the length of each side? Assume the polygon has 11 sides.

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of all the sides.
The length of each side is the perimeter divided by the number of sides.
<<418/11=37>>
### Answer: 37

Expected answer: 38

Correct? No

Problem: A polygon has side lengths of 56m, 73m, 39m, 24m, and 26m. If the total perimeter of the polygon is 278m, what is the length of the sixth side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of the sides.
The total perimeter of the polygon is 278m.
The length of the first side is 56m.
The length of the second side is 73m.
The length of the third side is 39m.
The length of the fourth side is 24m.
The length of the fifth side is 26m.
The length of the sixth side is 278-56-73-39-24-26 = <<278-56-73-39-24-26=10>>10m.
### Answer: 10

Expected answer: 60

Correct? No

Problem: A regular pentagon has a perimeter of 385cm. How long is each side?

LLemma 7B:

 Reasoning: A regular pentagon has 5 sides.
The perimeter of a regular pentagon is 5 times the length of one side.
5s = 385
s = 385/5 = <<385/5=77>>77cm
### Answer: 77

Expected answer: 77

Correct? Yes

Problem: The perimeter of a very irregular eleven-sided polygon is 663m. Of those eleven sides, ten are known to be 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, and 61m respectively. What is the length of the unknown eleventh side?

LLemma 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of its sides.
The perimeter of the polygon is 97+93+35+1+27+86+68+96+45+61+x = <<97+93+35+1+27+86+68+96+45+61+x=663>>663-450 = <<663-450=213>>213.
The length of the unknown eleventh side is 213-450 = <<213-450=-237>>-237m.
### Answer: -237

Expected answer: 54

Correct? No

Problem: A decagon has side lengths of 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, and 54m respectively. The length of the tenth side is not known. What is the length of this side if the total perimeter of the decagon is 575m?

LLemma 7B:

 Reasoning: The perimeter of a decagon is the sum of the lengths of all its sides.
The perimeter of the decagon is 54+49+85+48+85+19+94+44+54+<<x>> = <<575>>.
575 = 54+49+85+48+85+19+94+44+54+<<x>>
575 = 490+<<x>>
<<x>> = 575-490
<<x>> = 85
### Answer: 85

Expected answer: 43

Correct? No

Problem: Given a regular octagon with a perimeter of 248m, what is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*side.
8*side = 248
side = 248/8 = <<248/8=31>>31
### Answer: 31

Expected answer: 31

Correct? Yes

Problem: A regular pentagon has a perimeter of 390m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
5s = 390
s = 390/5 = <<390/5=78>>78m
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A decagon has nine side lengths given as 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m. If the total perimeter is 522m, find the length of the tenth side.

LLemma 7B:

 Reasoning: The total perimeter of a decagon is the sum of the lengths of all its sides.
The total perimeter of a decagon is 522m.
The length of the tenth side is 6m.
### Answer: 6m

Expected answer: 22

Correct? No

Problem: A regular octagon has a perimeter of 408m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*side.
8*side = 408
side = 408/8 = <<408/8=51>>51m
### Answer: 51

Expected answer: 51

Correct? Yes

Problem: An octagon has an equal length of sides. If the perimeter of the octagon is 696m, what is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of its sides.
The perimeter of the octagon is 696m.
The length of each side is 696/8 = <<696/8=88.5>>88.5m.
### Answer: 88.5

Expected answer: 87

Correct? No

Problem: An octagon has a perimeter of 744m. What is the length of each side if all sides are equal?

LLemma 7B:

 Reasoning: 744/8 = <<744/8=93>>93m
Each side is 93m.
### Answer: 93

Expected answer: 93

Correct? Yes

Problem: A regular nonagon (9-sided polygon) has a perimeter of 270m. What is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a regular nonagon is 9 times the length of one side.
9s = 270
s = 270/9 = <<270/9=30>>30
### Answer: 30

Expected answer: 30

Correct? Yes

Problem: A nonagon nine-sided polygon has eight known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm. If the total perimeter of the nonagon is 350cm, what is the length of the unknown ninth side?

LLemma 7B:

 Reasoning: The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 350cm.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter

Expected answer: 30

Correct? No

Problem: A nonagon has eight side lengths known which are 19m, 7m, 10m, 16m, 32m, 15m and 70m. What is the length of the ninth side if the total perimeter of the nonagon is 188m?

LLemma 7B:

 Reasoning: The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter of the nonagon is 188m.
The total perimeter of the nonagon is the sum of the lengths of all the sides.
The total perimeter

Expected answer: 19

Correct? No

Problem: A regular hexagon has a perimeter of 90m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 90
s = 90/6 = <<90/6=15>>15
Each side is 15m long.
### Answer: 15

Expected answer: 15

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
287 = 7s
<<287/7=41>>s = 41
The length of each side is 41m.
### Answer: 41

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 50m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
50/5 = <<50/5=10>>10
### Answer: 10

Expected answer: 10

Correct? Yes

Problem: A regular nonagon has a perimeter of 63m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular nonagon has 9 sides.
The perimeter of a regular nonagon is 9s.
63 = 9s
<<63/9=7>>63/9=7
Each side is 7m.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: A regular hexagon has a perimeter of 354m. What is the length of one side of this hexagon?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6*x = 354
x = 354/6 = <<354/6=59>>59
### Answer: 59

Expected answer: 59

Correct? Yes

Problem: A polygon has side lengths of 59m, 16m, 15m, 35m, 89m, 16m, 43m and 7m. If the total perimeter of the polygon is 286m, what is the length of the last unknown side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all the sides.
The total perimeter of the polygon is 286m.
The length of the last unknown side is ?
### Answer: 101

Expected answer: 6

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 616m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
7s = 616
s = 616/7 = <<616/7=88>>88
Each side is 88m.
### Answer: 88

Expected answer: 88

Correct? Yes

Problem: A regular hexagon has a perimeter of 36m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
Each side is 36/6 = <<36/6=6>>6m.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A dodecagon has 11 of its 12 sides already measured. The lengths are 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm respectively. If the total perimeter of the dodecagon is 492cm, what is the length of the twelfth side?

LLemma 7B:

 Reasoning: The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the dodecagon is 492cm.
The total perimeter of the

Expected answer: 30

Correct? No

Problem: A regular hexagon has a perimeter of 306m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
<<306/6=51>>
### Answer: 51

Expected answer: 51

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 238 meters. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s, where s is the length of each side.
7s = 238
s = 238/7 = <<238/7=34>>34
Each side is 34 meters long.
### Answer: 34

Expected answer: 34

Correct? Yes

Problem: A regular hexagon has a total perimeter of 42m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 42
s = 42/6 = <<42/6=7>>7
Each side is 7m.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: A regular octagon has a perimeter of 624m. What is the length of each side of the octagon?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*side.
8*side = 624
side = 624/8 = <<624/8=78>>78m
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A polygon with nine sides has lengths of 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, and 93m. What is the length of the tenth side if the total perimeter of the polygon is 468 meters?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is 468 meters.
The length of the tenth side is 468 - (17+13+61+16+11+83+28+48+93) = <<468-(17+13+61+16+11+83+28+48+93)=10>>10 meters.
### Answer: 10

Expected answer: 98

Correct? No

Problem: A regular pentagon has a perimeter of 380m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
5s = 380
s = 380/5 = <<380/5=76>>76
### Answer: 76

Expected answer: 76

Correct? Yes

Problem: A regular octagon has a perimeter of 104cm. What is the length of one of its sides?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*s, where s is the length of one of its sides.
8*s = 104
s = 104/8 = <<104/8=13>>13
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 637m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
7s = 637
s = 637/7 = <<637/7=91>>91m
### Answer: 91

Expected answer: 91

Correct? Yes

Problem: A regular pentagon has a perimeter of 35m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
5s = 35
s = 35/5 = <<35/5=7>>7
Each side is 7m long.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively. What is the length of the fifth side?

LLemma 7B:

 Reasoning: The perimeter of a pentagon is the sum of the lengths of its five sides.
The perimeter of the pentagon is 45+93+36+22+x = <<45+93+36+22+x=223>>223-154 = <<223-154=69>>69.
The length of the fifth side is 69cm.
### Answer: 69

Expected answer: 27

Correct? No

Problem: A polygon has sides measuring 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm. If the perimeter of the polygon is 423cm, what is the length of the last unknown side?

LLemma 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of its sides.
The perimeter of the polygon is 75+81+22+94+91+10 = <<75+81+22+94+91+10=389>>389cm.
The length of the last unknown side is 389-423 = <<389-423=-34>>-34cm.
### Answer: -34

Expected answer: 50

Correct? No

Problem: A regular decagon (10-sided polygon) has a perimeter of 600m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of each side.
10s = 600
s = 600/10 = <<600/10=60>>60
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: The perimeter of a regular octagon is 632m. What is the length of each of its sides?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*s, where s is the length of each of its sides.
8*s = 632
s = 632/8 = <<632/8=79>>79
### Answer: 79

Expected answer: 79

Correct? Yes

Problem: A regular septagon (7-sided polygon) has a total perimeter of 161m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of its sides.
The length of each side of a regular septagon is 161/7 = <<161/7=23>>23m.
### Answer: 23

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 96m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 96
s = 96/6 = <<96/6=16>>16
Each side is 16m long.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: A nonagon (9-sided polygon), has sides with length 50m, 31m, 24m, 28m, 13m, 97m, 63m and 88m. Find the length of the ninth side if the total perimeter of the nonagon is 402m.

LLemma 7B:

 Reasoning: The total perimeter of the nonagon is the sum of the lengths of the sides.
The total perimeter of the nonagon is 402m.
The length of the ninth side is 402-50-31-24-28-13-97-63-88 = <<402-50-31-24-28-13-97-63-88=100>>100m.
### Answer: 100

Expected answer: 8

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 385m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
385 = 7s
<<385/7=55>>55 = s
### Answer: 55

Expected answer: 55

Correct? Yes

Problem: The total perimeter of a polygon is 358 meters. The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters. What is the length of the remaining side?

LLemma 7B:

 Reasoning: The total perimeter of a polygon is the sum of the lengths of its sides.
The total perimeter of a polygon is 358 meters.
The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters.
The remaining side is 358 - (89 + 2 + 10 + 48 + 94) - 59 = <<358-(89+2+10+48+94)-59=358-354-59=3>>3 meters.
### Answer: 3

Expected answer: 56

Correct? No

Problem: An octagon has a equal sides and its total perimeter is 496m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a octagon is 8*s, where s is the length of each side.
8*s = 496
s = 496/8 = <<496/8=62>>62
### Answer: 62

Expected answer: 62

Correct? Yes

Problem: A regular octagon has a perimeter of 800m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 800m.
Each side of a regular octagon is 800/8 = <<800/8=100>>100m.
### Answer: 100

Expected answer: 100

Correct? Yes

Problem: A regular nonagon has a certain side length. If the perimeter of the nonagon is 702 m, what is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a nonagon is 9 times the length of one side.
702 = 9*<<side length>>
<<side length>> = 702/9 = <<702/9=79>>79 m
### Answer: 79

Expected answer: 78

Correct? No

Problem: A regular nonagon has a perimeter of 855cm. What is the length of one side?

LLemma 7B:

 Reasoning: A regular nonagon has 9 sides.
The perimeter of a regular nonagon is 9s.
855 = 9s
s = 855/9 = <<855/9=93.11111111111111>>93.11111111111111
### Answer: 93.11111111111111

Expected answer: 95

Correct? No

Problem: If a regular heptagon has a perimeter of 504 meters, find the length of its side.

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
504 = 7s
<<504/7=72>>72 = s
### Answer: 72

Expected answer: 72

Correct? Yes

Problem: A regular nonagon has a perimeter of 657m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular nonagon has 9 sides.
The perimeter of a regular nonagon is 9s.
657 = 9s
<<657/9=71.5>>71.5 = s
### Answer: 71.5

Expected answer: 73

Correct? No

Problem: Given a regular octagon where the total perimeter is 48 cm, what is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*side.
48 = 8*side
side = 48/8 = <<48/8=6>>6
Each side is 6 cm.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A polygon has eight sides with lengths: 28m, 37m, 51m, 84m, 54m, 31m, 94m, and 12m. If the total perimeter of the polygon is 399m, what is the length of the remaining unknown side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of the sides.
The total perimeter of the polygon is 28+37+51+84+54+31+94+12 = <<28+37+51+84+54+31+94+12=399>>399m.
The length of the remaining unknown side is 399-28-37-51-84-54-31-94 = <<399-28-37-51-84-54-31-94=12>>12m.
### Answer: 12

Expected answer: 8

Correct? No

Problem: A regular nonagon has a perimeter of 342m. What is the length of one side?

LLemma 7B:

 Reasoning: A regular nonagon has 9 sides.
The perimeter of a regular nonagon is 9s.
342 = 9s
<<342/9=38.88888888888889>>
### Answer: 38.89

Expected answer: 38

Correct? No

Problem: In a polygon with 8 sides, 7 of the side lengths are given as follows: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m. Given that the total perimeter of the polygon is 330 m, what is the length of the eighth side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all the sides.
The total perimeter of the polygon is 330 m.
The length of the eighth side is 330 - (7 + 59 + 49 + 38 + 53 + 21 + 34) = <<330-(7+59+49+38+53+21+34)=10>>10 m.
### Answer: 10

Expected answer: 69

Correct? No

Problem: A decagon has side lengths of 88m, 96m, 74m, 52m, 45m, 74m, 85m, 85m, and 43m. What is the length of the tenth side if the total perimeter of the decagon is 682m?

LLemma 7B:

 Reasoning: The total perimeter of the decagon is 682m.
The length of the tenth side is 682/10 = <<682/10=68.2>>68.2m.
### Answer: 68.2

Expected answer: 40

Correct? No

Problem: A regular septagon (7-sided polygon) has a constant perimeter of 161m. If all sides are equal, what is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of its sides.
The perimeter of a regular septagon is 7s, where s is the length of each side.
7s = 161
s = <<161/7=23>>23
### Answer: 23

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 324m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
<<324/6=54>>
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: A regular pentagon's perimeter is 385 meters. What is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one side.
The length of one side is 385/5 = <<385/5=77>>77 meters.
### Answer: 77

Expected answer: 77

Correct? Yes

Problem: A regular septagon (7-sided polygon) has a perimeter of 245m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of its sides.
The length of each side of a regular septagon is 245/7 = <<245/7=35>>35m.
### Answer: 35

Expected answer: 35

Correct? Yes

Problem: A regular pentagon has a perimeter of 25cm. What is the length of one of its sides?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one of its sides.
5s = 25
s = 25/5 = <<25/5=5>>5
### Answer: 5

Expected answer: 5

Correct? Yes

Problem: A regular hexagon has five of its sides measuring 9m, 49m, 100m, 73m, and 84m respectively. If the total perimeter of the hexagon is 380m, find the length of the sixth side.

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is the sum of the lengths of its sides.
The perimeter of the hexagon is 9+49+100+73+84+x = <<9+49+100+73+84+x=380>>380.
380-265=x
x=<<380-265=115>>115
### Answer: 115

Expected answer: 65

Correct? No

Problem: An irregular polygon has seven sides with lengths of 23m, 67m, 57m, 94m, 93m, 18m and 30m respectively. If the total perimeter of the polygon is 419m, what is the length of the missing side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is the sum of the lengths of all the sides.
The total perimeter of the polygon is 23+67+57+94+93+18+30 = <<23+67+57+94+93+18+30=361>>361m.
The length of the missing side is 419-361 = <<419-361=58>>58m.
### Answer: 58

Expected answer: 37

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular heptagon is 7s.
287 = 7s
<<287/7=41>>s = 41
The length of each side is 41m.
### Answer: 41

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 55m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of one side.
55/5 = <<55/5=11>>11
### Answer: 11

Expected answer: 11

Correct? Yes

Problem: A regular nonagon, which is a nine-sided polygon, has equal side lengths. If the entire perimeter of the nonagon is 657 meters, how long is each side?

LLemma 7B:

 Reasoning: The perimeter of a regular nonagon is 9 times the length of one side.
9s = 657
s = 657/9 = <<657/9=71.88888888888889>>71.89 meters
### Answer: 71.89 meters

Expected answer: 73

Correct? No

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
6s = 78
s = 78/6 = <<78/6=13>>13
Each side is 13m long.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular octagon has a total perimeter of 600 meters. What is the length of one of its sides?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*s, where s is the length of one of its sides.
8*s = 600
s = 600/8 = <<600/8=75>>75
### Answer: 75

Expected answer: 75

Correct? Yes

Problem: A polygon has side lengths of 39m, 26m, 47m, 52m, 66m, 17m, and 34m. If the overall perimeter of the polygon is 356m, what is the length of the last side?

LLemma 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of its sides.
The perimeter of the polygon is 39+26+47+52+66+17+34 = <<39+26+47+52+66+17+34=250>>250m.
The length of the last side is 356-250 = <<356-250=106>>106m.
### Answer: 106

Expected answer: 75

Correct? No

Problem: A regular decagon has a perimeter of 930 cm. What is the length of each side?

LLemma 7B:

 Reasoning: A regular decagon has 10 sides.
The perimeter of a regular decagon is 10s.
930 = 10s
s = 930/10 = <<930/10=93>>93 cm
### Answer: 93

Expected answer: 93

Correct? Yes

Problem: A decagon has eight of its sides measuring 24m, 25m, 75m, 38m, 18m, 42m and 61m. If the total perimeter of the decagon is 359m, can you find the length of one of the unknown sides?

LLemma 7B:

 Reasoning: The total perimeter of the decagon is 359m.
The total perimeter of the decagon is 24+25+75+38+18+42+61+<<unknown>>+<<unknown>>=359.
<<unknown>>+<<unknown>>=359-24-25-75-38-18-42-61=10.
<<unknown>>=10/2=5.
The length of one of the unknown sides is 5m.
### Answer: 5

Expected answer: 76

Correct? No

Problem: A nonagon has side lengths of 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m and the total perimeter of the nonagon is 368m. What is the length of the final side?

LLemma 7B:

 Reasoning: The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter of the nonagon is 368m.
The total perimeter

Expected answer: 8

Correct? No

Problem: A regular octagon has a perimeter of 592cm. What is the length of one side?

LLemma 7B:

 Reasoning: The perimeter of a regular octagon is 8*s, where s is the length of one side.
8*s = 592
s = 592/8 = <<592/8=73.5>>73.5cm
### Answer: 73.5

Expected answer: 74

Correct? No

Problem: A regular heptagon has a perimeter of 245m. What is the length of each side?

LLemma 7B:

 Reasoning: A regular heptagon has 7 sides.
The perimeter of a regular heptagon is 7s.
245 = 7s
<<245/7=35>>35 = s
Each side is 35m.
### Answer: 35

Expected answer: 35

Correct? Yes

Problem: A regular decagon has a perimeter of 140m. What is the length of each side?

LLemma 7B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of each side.
140 = 10s
s = 140/10 = <<140/10=14>>14
### Answer: 14

Expected answer: 14

Correct? Yes

Problem: A polygon has side lengths of 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm. If the total perimeter of the polygon is 655cm. What is the length of its 11th side?

LLemma 7B:

 Reasoning: The total perimeter of the polygon is 655cm.
The length of the 11th side is 655-44-5-96-78-49-84-72-74-21-39 = <<655-44-5-96-78-49-84-72-74-21-39=100>>100cm.
### Answer: 100

Expected answer: 93

Correct? No

Problem: A polygon has sides that measure 69m, 81m, 34m, 35m, and 38m respectively. If the polygon's total perimeter is 265m, what is the length of the remaining side?

LLemma 7B:

 Reasoning: The perimeter of a polygon is the sum of the lengths of its sides.
The perimeter of the polygon is 69+81+34+35+38 = <<69+81+34+35+38=265>>265m.
The length of the remaining side is 265-199 = <<265-199=66>>66m.
### Answer: 66

Expected answer: 8

Correct? No

Problem: A pentagon has four of its side lengths as 22m, 14m, 93m, and 75m respectively. If its total perimeter is 234m, find the length of the fifth side.

LLemma 7B:

 Reasoning: The perimeter of a pentagon is the sum of its side lengths.
The perimeter of the pentagon is 22+14+93+75+x=23422+14+93+75+x=234.
22+14+93+75+x=23422+14+93+75+x=234.
x=234-(22+14+93+75)x=234-(22+14+93+75).
x=234-234x=234-234.
### Answer: 0m

Expected answer: 30

Correct? No