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Mathematics

Answered

Find the area of a regular

polygon with 8 sides that has a

the side length of 4 inches and an

apothem of 5 inches.

Area = [?]in2

Find the area of a regularpolygon with 8 sides that has athe side length of 4 inches and anapothem of 5 inches.Area = [?]in2 class=

Answer :

sqdancefan sqdancefan

Today at 5:10 AM

Answer:

80 in²

Step-by-step explanation:

When side length and apothem of a regular polygon are given, the applicable area formula is ...

A = 1/2Pa

where P is the perimeter of the polygon, and 'a' is its apothem.

__

The perimeter of a regular 8-sided polygon will be 8 times the side length, so the area is ...

A = 1/2(8×4 in)(5 in) = 80 in²

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