Answer: The area of the hexagonal base is 96 square roots of 3.
The hexagon is divided into 6 congruent triangles. All we have to do is find the area of one of these shapes and multiply by 6.
The base of each triangle is 8 because the triangles are equilateral and one side is already given. The height is 4 square roots of 3 because it is a 30/6090 triangle.
To find the area, we multiply 8 x 4 square roots of 3 and divide by 2 to get 16 square roots of 3.
Multiply 16 by 6 and you get 96 square roots of 3.
Change the numbers into improper fractions then subtract