To the nearest square unit, what is the area of the regular octagon shown below?

Question

asked Dec 17, 2020 131k views

2 Answers

JATMON · Answer 1 · 2020-12-24T12:43:59+0000

Answer:

B. 1395 square units.

Explanation:

We have been given an octagon. We are asked to find the area of the given regular octagon.

$\text{Area of octagon}=(a\cdot p)/(2)$ , where,

a = Apothem,

p = Perimeter.

Let us find apothem of octagon by multiplying 17 by 8.

$\text{Perimeter}=8* 17$

$\text{Perimeter}=136$

Upon substituting our given values in area formula, we will get:

$\text{Area of octagon}=(20.52* 136)/(2)$

$\text{Area of octagon}=(2790.72)/(2)$

$\text{Area of octagon}=1395.36\approx 1395$

Therefore, the area of our given octagon is 1395 square units.