Question

find the area of a regular octagon with an apothem of 10 cm and a side length of 8.3 cm.

Explanation:

Step1: Recall the perimeter formula

For a regular octagon with side - length $s$, the perimeter $P$ is given by $P = 8s$.
$P=8\times8.3 = 66.4$ cm

Step2: Recall the area formula for a regular polygon

The area $A$ of a regular polygon is given by $A=\frac{1}{2}aP$, where $a$ is the apothem and $P$ is the perimeter.
$A=\frac{1}{2}\times10\times66.4$
$A = 332$ $cm^{2}$

Answer:

$332$