Answer
205.4 $ft^{2}$
Work Step by Step
Given that the length of the apothem a of a regular octagon is = 7.9ft
The side of the octagon s is 6.5 ft
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 = 7.9ft
perimeter of octagon = ns
= 8 * 6.5
= 52 ft
A = $\frac{1}{2}$ ap
A = $\frac{1}{2}$ * 7.9ft * 52 ft
= 205.4 $ft^{2}$
