Question

A regular hexagon has an area of 516 square meters. Find the measure of each side if its apothem is16 meters long. Submit your answer in decimal form to the nearest hundredth (2 decimal places)

The hexagon has side lengths of
meters

Answer 1

Area = (1/2)(apothem)(perimeter). For a regular hexagon perimeter = 6s, so

516 = (1/2)(16)(6s) = 48s

s = 516 / 48 = 10.75

Each side is 10.75 meters.