Question

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

Answer 1

1395 square units. Used a website that auto completes it.

Answer 2

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.