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

2 Answers
Sep 13, 2015

#36# square inches

Explanation:

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

Sep 13, 2015

36 square inches

Explanation:

#P = 4s = 24# inches

#s = 24/4=6# inches

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