Question

The area of a square rug is 64 square feet. What is the perimeter of the rug?

Answer 1

Given data

Area of a square = 64 square feet

To find the perimeter of a rectangle, you need the length of its sides.

You can find the length of a square from the area of the square given below.

`\begin{gathered} \text{Area of a square = L}^2 \\ L\text{ = length of the side} \\ \text{Next, substitute the value of area to find the length.} \\ 64=L^2 \\ \text{Next, to find the length, find the square root of both sides.} \\ \sqrt[]{64\text{ }}\text{ = }\sqrt[]{L^2} \\ L\text{ = 8 ft} \end{gathered}`

Use the formula below to find the perimeter.

The perimeter of a square = 4L

= 4 x 8

= 32 feet