The area of a regular hexagon is 1500 square centimeters. What is its perimeter?

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Answer 1 · 2016-01-04T17:01:33

#=144.18 cm#

The formula for area of a hexagon is

area #color(blue)(=(3sqrt3)/2 xx (side) ^2#

The area given #=color(blue)(1500 cm^2# , equating the same

#(3sqrt3)/2 xx (side) ^2= 1500#

#(side) ^2= 1500 xx 2/(3sqrt3)#

(note :#sqrt3=1.732#)

#(side) ^2= 1500 xx 2/(3xx1.732)#

# 1500 xx 2/(5.196)#

#= 3000/(5.196)#

#= 577.37#

side#= sqrt577.37#

the side #= 24.03cm #

Perimeter of the hexagon (six sided figure) = #6 xx side#

Perimeter of the hexagon = #6 xx 24.03#

#=144.18 cm#