Question

Soledad wants to make a frame for a square painting. The area of the painting is 2 ft ^{2}. Soledad wants to know the perimeter of the painting.a. What is the exact perimeter? Show your work.

Answer 1

4√2 units.

Step-by-step explanation:

The painting is in the form of a Square.

Area of the painting = 2 ft²

For a square of side length, l

`\begin{gathered} \text{Area}=l^2 \\ l^2=2 \\ l=\sqrt[]{2}\text{ units} \end{gathered}`

Since we have found the length, we can then determine its perimeter.

`\text{Perimeter of a square=4}l^{}`

Substituting the value of l derived above:

`\text{Perimeter}=4\sqrt[]{2}\text{ units}`

The exact perimeter is 4√2 units.