Find the area of the regular polygon. Round to the nearest tenth.

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

where s is side length and n is number of sides.

Area of the regular polygon:

in²

The area of the regular polygon is 374.1 in².