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?

\( 54 \sqrt{3}\)

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:

\(A=\frac{3 \sqrt{3}}{2} 6^{2}=\frac{3 \sqrt{3}}{2} 36=\frac{108 \sqrt{3}}{2}=54 \sqrt{3}\)

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