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Answer 1 · 2017-10-26T08:47:50

The perimeter of the square is #40m#

According to the question the area of the square is #100m^2#

The area of a square can be given by #color(red)a xx color(red)a# where #color(red)a# is the length of the side of the square.

Therefore #color(red)(a^2)=# Area of the square

#color(red)(a^2)=100#

Now we take a square root on both sides.

#sqrt(color(red)(a^2)# #=sqrt100#

We know #sqrt(color(red)(a^2)# #= color(red)a# and #sqrt(100)=10#

Therefore #color(red)a=10m#

The length of one side of the square is #10m#
As the length of all #4# sides of a square is equal #->#

#color(red)a xx 4=# Perimeter of the square

#10 xx 4=40m#