Answer
63.48$\sqrt 3$ $in^{2}$
Work Step by Step
Given apothem of length 4.6in
Perimeter = 27.6$\sqrt 3$ in
The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap
A = $\frac{1}{2}$ *4.6 * 27.6$\sqrt 3$
A = 63.48$\sqrt 3$ $in^{2}$
