Answer
Find out the area of the regular hexagon.
To prove
As given in the question
Hexagon is regular thus it is made up of the six equilateral triangle.
Thus area of the regular hexagon is 6 times the area of a equilateral triangle.
Each side of the regular hexagon measures 8 cm.
Formula
[tex]Area\ of\ hexagon = 6\times \frac{\sqrt{3}a^{2}}{4}[/tex]
where a represented the side.
[tex]Area\ of\ hexagon = 6\times \frac{\sqrt{3}\times 8\times 8}{4}[/tex]
[tex]Area\ of\ hexagon = 6\times \sqrt{3}\times 8\times 2[/tex]
[tex]Area\ of\ hexagon = 96 \sqrt{3}\ unit^{2}[/tex]
Therefore the option (a) is correct .
