Question

question 10 of 25 a regular octagon with sides of length 7 and an apothem of length 10.49 has an area of ____ square units. a. 79.25 b. 440.16 c. 587.44 d. 293.72 e 92.39 f. 73.43

Explanation:

Step1: Recall area formula for regular polygon

$A=\frac{1}{2}aP$, where $a$ is apothem and $P$ is perimeter.

Step2: Calculate perimeter of octagon

$P = 8\times s$, with $s = 7$, so $P=8\times7 = 56$.

Step3: Calculate area of octagon

$A=\frac{1}{2}\times10.49\times56= 293.72$.

Answer:

D. 293.72