Find the area of a regular hexagon if its perimeter is 60 cm?

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Answer 1 · 2018-05-21T08:20:40

#color(crimson)(A = 259.81# #sq. cm#

A regular hexagon is a six sided polygon with all six sides equal in measure.

Let ‘a’ be the measure of one side.

Perimeter of hexagon #P = 6 * a = 60 # #cm#

#a = 60/6 = 10# #cm#

Hexagon consists of six equilateral triangles and

Formula for area of hexagon #A = 6 * (sqrt3/4) * a^2#

#A = (6 * sqrt 3 * 10^2) / 4= (600*sqrt3) / 4 #

#A = 150 * sqrt3 = color (crimson)(259.81# #color(crimson)(sq. cm#