## Elementary Geometry for College Students (5th Edition)

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: $A=(6.92)(6) + 2(1/2)(6)(3.46) = 62.4$