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