What is the area of square whose perimeter is 24 inches?

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Answer 1 · 2015-09-13T19:33:40

#36# square inches

Let #s# be the length of a side of the square.

We are given that the perimeter is #24# inches

Since all the sides of a square are the same length
we can write an equation for the perimeter as follows:

#s+s+s+s=24#

#4s=24#

Dividing both sides by #4# we get

#s=6#

So the length of a side of the square is #6# inches

The area of the square is

#Area=s^2#

Plugging in our value for #s# and squaring

#Area=6^2=6(6)=36# square inches

Answer 2 · 2015-09-13T19:34:32

36 square inches

#P = 4s = 24# inches

#s = 24/4=6# inches

#A=s^2 = 6^2 = 36# square inches