If the area of a square is 225 cm2, what is perimeter?

Oct 3, 2017

See a solution process below:

Explanation:

The formula for the area of a square is:

$A = {s}^{2}$

Where:

$A$ is the area of the square.

$s$ is the length of the side of a square.

Substituting and solving for $s$ gives:

$225 {\text{ cm}}^{2} = {s}^{2}$

We can take the square root of each side of the equation giving:

$\sqrt{225 {\text{ cm}}^{2}} = \sqrt{{s}^{2}}$

$15 \text{ cm} = s$

$s = 15 \text{ cm}$

The formula for the perimeter of a square is:

$p = 4 s$

Where:

$p$ is the perimeter of the square.

$s$ is the length of the side of a square.

Substituting for $s$ from the solution for the previous formula and calculating $p$ gives:

$p = 4 \times 15 \text{ cm}$

$p = 60 \text{ cm}$