Question

Find the area of a regular

polygon with 8 sides that has a
perimeter of 96 inches and an
apothem of 5 inches.
Area = [?]in²

Answer 1

`\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap ~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=96 \end{cases}\implies A=\cfrac{1}{2}(5)(96)\implies A=240`