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
[tex]A=\dfrac{n}{2}\times \text{Apothem}\times \text{Side length}[/tex]
where, n is number of sides of hexagon, i.e., 6.
On substituting the values, we get
[tex]A=\dfrac{6}{2}\times 5 \times 8[/tex]
[tex]A=3\times 40[/tex]
[tex]A=120[/tex]
Therefore, the area of regular hexagon is 120 sq. units.