Answer
317.52 $in^{2}$
Work Step by Step
Given that the length of the apothem a of a regular octagon is = 9.8 in
The side of the octagon s is 8.1 in
We need to find out the area of the octagon
The area of the regular polygon whose apothem has length a and whose perimeter p is given by A = $\frac{1}{2}$ ap
Given apothem a = 9.8 in
perimeter of octagon = ns
= 8 * 8.1
= 64.8 in
A = $\frac{1}{2}$ ap
A = $\frac{1}{2}$ * 9.8in * 64.8 in
= 317.52 $in^{2}$