Answer
$\approx12$ feet
Work Step by Step
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.
