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Find the area of a regular

polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.

1 Answer

5 votes

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2

I hope this helped!

User Pavel Luzhetskiy
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