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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.

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 paintinga What is the exact pe class=

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Answer:

4√2 units.

Explanation:

The painting is in the form of a Square.

Area of the painting = 2 ft²

For a square of side length, l

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

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

[tex]\text{Perimeter of a square=4}l^{}[/tex]

Substituting the value of l derived above:

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

The exact perimeter is 4√2 units.