Let’s solve each problem step by step.
We are told these are
regular polygons, which means all sides are equal in length.
To find the
perimeter, we just multiply the number of sides by the length of one side.
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Problem 1:
Shape: Regular nonagon (9 sides)
Side length: 9 ft
Perimeter = 9 × 9 =
81 ft
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Problem 2:
Shape: Regular pentagon (5 sides)
Side length: 24 in
Perimeter = 5 × 24 =
120 in
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Problem 3:
Shape: Regular octagon (8 sides)
Side length: 13 yd
Perimeter = 8 × 13 =
104 yd
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Problem 4:
Shape: Regular hexagon (6 sides)
Side length: 16 in
Perimeter = 6 × 16 =
96 in
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Problem 5:
Shape: Regular nonagon (9 sides)
Side length: 8 yd
Perimeter = 9 × 8 =
72 yd
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Problem 6:
Shape: Regular decagon (10 sides)
Side length: 5 ft
Perimeter = 10 × 5 =
50 ft
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Problem 7:
Shape: Regular heptagon (7 sides)
Side length: 12 yd
Perimeter = 7 × 12 =
84 yd
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Problem 8:
Shape: Regular octagon (8 sides)
Side length: 10 ft
Perimeter = 8 × 10 =
80 ft
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Problem 9:
Shape: Regular pentagon (5 sides)
Side length: 20 in
Perimeter = 5 × 20 =
100 in
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Final Answer:
1) 81 ft
2) 120 in
3) 104 yd
4) 96 in
5) 72 yd
6) 50 ft
7) 84 yd
8) 80 ft
9) 100 in
Parent Tip: Review the logic above to help your child master the concept of perimeter of a polygon worksheet.
