Question

The area of a square is 81 square units. what is the perimeter in units?

Answer 1

Given:

Area of the square = 81 square units.

Let's find the perimeter.

To find the perimeter of a square, apply the formula:

Perimeter = 4L

Where L is the side length of one side of the square.

To find L given the area, apply the formula:

$\text{Area}=L^2$

Hence, we have:

$81=L^2$

Take the square root of both sides:

$\begin{gathered} \sqrt[]{81}=\sqrt[]{L^2} \\ \\ 9=L \\ \\ L=9\text{ units} \end{gathered}$

The length of one side of the square is 9 units.

To find the perimeter, substitute 9 for L in the formula for Perimeter of a square.

Perimeter = 4L = 4(9) = 36 units

Therefore, the perimeter of the square is 36 units.

ANSWER:

36 units.