Question

Find the area of a regular hexagon with a perimeter of 42 feet. Round to the nearest tenth if necessary. Select one: a. 128.1 units2 b. 256.2 units2 c. 42.7 units2 d. 21.35 units2

Answer 1

I actually got an answer around 127, so it should be A

Answer 2

A regular hexagon consists of 6 equilateral triangles
Each triangle has base 42/6 = 7 feet
Height of each triangle 7 * sqrt3/2 = 3.5 sqrt3
Area of 1 triangle = 3.5^2 sqrt3

area of hexagon = 6 * 3.5^2 sqrt3 = 73.5 sqrt3 or 127.3 sq feet to nearest tenth