Question

Find the area of a regular hexagon with a side 5 yards long. Round your answer to the nearest tenth.
Group of answer choices

71 yd^2
65 yd^2
62.4 yd^2
43 yd^2

Answer 1

Answer:

find the area of each of the 6 equilateral triangles making up the hexagon

Each side of triangle = 12 yards

{ by the way, first check apothem length because it is our altitude )

tan 30 = (1/2)(12)/apothem

apothem = 6/tan 30 = 10.4 - sure enough, whew }

so area of triangle = (1/2)(base)(apothem)

= .5 * 12 * 10.4 = 62.4

so 6 of them is 6*62.4 = 374 yd^2