Answer
$ 2400 \sqrt 3 \ cm^2$
Work Step by Step
The length of the side of the hexagon can be computed as:
That is, $s=\dfrac{p}{6}=\dfrac{240}{6}=40 \ cm$
Now, the area of a hexagon is equal to $A=\dfrac{\sqrt 3 s^2}{4} \times 6 \\=\dfrac{\sqrt 3 \times (40)^2\times 6}{4} \\= 2400 \sqrt 3 \ cm^2$
