#### Answer

62.4

#### Work Step by Step

The problem asks to find area. Since each angle is 120 degrees in the hexagon, we find that the triangles formed in the diagram are 30-60-90 triangles. Thus, we can find height:
$h = \frac{6}{\sqrt3} = 3.46$
This means that each side is:
$ s = 2(3.46) = 6.92$
Thus, we find area:
$ A=(6.92)(6) + 2(1/2)(6)(3.46) = 62.4$