Question

Find the area of a regular hexagon with an apothem of 5 and a side equal to 8.

please help lol 50 points

Answer 1

Given:

Apothem of a regular hexagon = 5

Side of regular hexagon = 8

To find:

The area of a regular hexagon.

Solution:

Number of side of a hexagon: n = 6

Area of hexagon is

`A=(n)/(2)* \text{Apothem}* \text{Side length}`

where, n is number of sides of hexagon, i.e., 6.

On substituting the values, we get

`A=(6)/(2)* 5 * 8`

`A=3* 40`

`A=120`

Therefore, the area of regular hexagon is 120 sq. units.