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.