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What is the area of the regular polygon?

What is the area of the regular polygon?-example-1
User LearnMore
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Answer:

60 sq in

Explanation:

The appropriate formula is ...

... A = (1/2)Pa . . . . . where P is the perimeter and "a" is the apothem

The figure has 5 equal-length sides of 6 inches, so its perimeter is ...

... P = 5 × 6 in = 30 in

The apothem is shown as 4 in, so the formula gives the area as ...

... A = (1/2)(30 in)(4 in) = 60 in²

The area is 60 square inches.

User Vmonteco
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