Question

7. Find the area of the regular polygon.
12 km
14 km

Answer 1

672 sq km

Explanation:

Area of a regular polygon

`A = (P)/(2) * a`

P = perimeter of the polygon

a = apotherm which is defined as
The distance from the center of a regular polygon to the midpoint of a side.

The given polygon has 8 sides and each side is 12 km
So the perimeter P = 12 x 8 = 96 km

The apotherm is given as 14 km

So area

`A = (96)/(2) * 14 = 672 \text { sq km}`