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Answered

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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 InchesArea In2 class=

Sagot :

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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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