Question

Each side of a hexagon is 350 feet and the apothem is 303 feet long. What is its area?

Answer 1

`318150` square feet

Explanation:

Imagine the hexagon as being split into 6 equilateral triangles, where the base is `350` feet and the height, or the apothem, is `303`.

We know that the area of one of these triangles is `1/2bh`, or `1/2(350)(303)=53025` square feet. Since there are 6 congruent triangles, the area of the entire hexagon is `6(53025)=318150` square feet.