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 $A = 6 * (sqrt3/4) * a^2$

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

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