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

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:

$s + s + s + s = 24$

$4 s = 24$

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

$A r e a = {s}^{2}$

Plugging in our value for $s$ and squaring

$A r e a = {6}^{2} = 6 \left(6\right) = 36$ square inches

Sep 13, 2015

36 square inches

Explanation:

$P = 4 s = 24$ inches

$s = \frac{24}{4} = 6$ inches

$A = {s}^{2} = {6}^{2} = 36$ square inches