Answer
97.5 $cm^{2}$
Work Step by Step
Given apothem of a regular pentagon is 5.2 cm
Each side of a regular pentagon = 7.5 cm
The area of a regular polygon whose apothem has length a and whose perimeter P is given by A = $\frac{1}{2}$ ap
Given a = 5.2cm
p = 5s = 5*7.5
=37.5 cm
A = $\frac{1}{2}$ *5.2 * 37.5
A = 97.5 $cm^{2}$