Answer
133.5 $in^{2}$
Work Step by Step
Given that the apothem of pentagon a is = 6 in
the side measure approximately 8.9 in
We need to find out the area of pentagon
The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap
We know perimeter of pentagon P = ns
= 5 * 8.9
=44.5 in
A = $\frac{1}{2}$ ap
= $\frac{1}{2}$ * 6 * 44.5
A = 133.5 $in^{2}$
The area of Pentagon is = 133.5 $in^{2}$