The area of a regular hexagon can be found with the formula \(A=\frac{3 \sqrt{3}}{2} s^{2}\), where s is the length of the side. What is the area of the regular hexagon shown above?
Explanation
The question gives a formula for the volume in terms of the side of the hexagon. The figure gives you that the side is 6, so plug this in for s to get:
\(A=\frac{3 \sqrt{3}}{2} 6^{2}=\frac{3 \sqrt{3}}{2} 36=\frac{108 \sqrt{3}}{2}=54 \sqrt{3}\)