Need to find the area of the figure

Given:

To find:

The area of the figure

Solution:

The given figure is regular hexagon.

Number of sides = 6

Using apothem formula:

where a is apothem, s is side length and n is number of sides of the polygon.

Multiply by 2 on both sides.

Cancel the common factor on both sides, we get

Side length of the polygon = 8 units

Area of the polygon:

A = 166.27 in²

The area of the figure is 166.27 in².