Find the area of the regular polygon with the given apothem a and side length s.

octagon , a=66.4 in , S = 55 in

Area is 14608in²

Step-by-step explanation:

this problem is based on mensuration of flat shapes, polygon

Octagon number of sides n = 8

The expression for the area of polygon given apothem and side

Is

Area = (n*s*a) / 2

Given n = 8

s = 55in

a = 66.4in

Substituting our given data we have

Area = (8*55*66.4) / 2

Area = 29216/2

Area = 14608in²