# If the area of a square is 64 square units, what is perimeter?

Mar 4, 2018

See a solution process below:

#### Explanation:

The formula for the Area of a square is:

$A = {s}^{2}$ Where $s$ is the length of the side of the square.

Substituting and solving for $s$ gives:

$64 {\text{units}}^{2} = {s}^{2}$

$\sqrt{64 {\text{units}}^{2}} = \sqrt{{s}^{2}}$

$8 \text{units} = s$

The formula for the perimeter of a square is:

$p = 4 s$ Where $s$ is the length of the side of the square.

Substituting the length for the side of the square in the problem we calculated above and solving for $p$ gives:

$p = 4 \times 8 \text{units}$

$p = 32 \text{units}$

The perimeter of the square in the problem is 32 units.