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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=

Respuesta :

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.

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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