Question

A regular octagon has an apothem of approximately 7.8 ft and a perimeter of approximately 52.0 ft. Find the area of the octagon

Answer 1

Answer:

The area of the octagon is $A=202.8\ ft^2$

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem

we have

$P=52.0\ ft\\a=7.8\ ft$

substitute

$A=\frac{1}{2}(52)(7.8)$

$A=202.8\ ft^2$