What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

step-by-step explanation: