Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180°)
Here, we have a 6-sided figure (hexagon), so the sum of the angles = (6 - 2)(180°) = (4)(180°) = 720°

Since all 6 angles are EQUAL, the measurement of each angle = 720°/6 = 120°
So, we HAVE:


Now place a point in the CENTER and draw lines to each vertex.
We get:



Since all 6 angles in the center must add to 360°, each answer must equal 60°


At this point, we can see that the 6-sided figure is comprised of 6 EQUILATERAL triangles.


Area of an equilateral triangle = (side²/4)√3

The area of ONE equilateral triangle = (8²/4)√3
= (64/4)√3
= 16√3

So, the area of ALL 6 triangles = (6)(16√3) = 96√3

Answer: A

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