## Algebra 1: Common Core (15th Edition)

$\approx12$ feet
It is given that the area of the square patio is 136 square feet. We will use the equation for the area of a square: $Area=length\times width$ or $Area=length^{2}$ since all sides of a square are of equal length. Square feet denotes area, so we will plug the given value of 136 square feet into our equation. $136=length^{2}$ Next, square root each side. $\sqrt 136$$=\sqrt {length^{2}}$ Solve for the square root: $\sqrt 136=11.67 ft$ Now your equation should look like this: $11.67=length$ The problem asks to round our answer to the nearest foot, so $length\approx12 ft$, which is your answer.