We are asked to determine the area of a regular hexagon given a side of 8 cm. To do that we will use the following formula:
[tex]A=\frac{3\sqrt[]{3}}{2}a^2[/tex]
Where:
[tex]\begin{gathered} A=\text{ area} \\ a=\text{ length of the side} \end{gathered}[/tex]
Now, we plug in the values:
[tex]A=\frac{3\sqrt[]{3}}{2}(8cm)^2[/tex]
Solving the operations:
[tex]A=166.3cm^2[/tex]
Therefore, the area of the hexagon is 166.3 square centimeters.
