Question

How do I do this? Anyone help!

Answer 1

Given:

Number of sides = 7

Apothem = 8 meters

Side length = 7.7 meters

To find:

The area of the regular polygon.

Solution:

We know that,

Area of a regular polygon is

`A=(1)/(2)pa` ...(i)

where, p is perimeter and a is apothem.

Perimeter of a regular polygon is the product of number of sides and side length.

`p=7* 7.7`

`p=53.9`

Substituting p=53.9 and a=8 in (i), we get

`A=(1)/(2)(53.9)(8)`

`A=(53.9)(4)`

`A=215.6`

Therefore, the area of the regular polygon is 215.6 m².