Asquare patio has an area of 200 square feet. how long is each side of the patio to the nearest 0.05?

The surface of a square or rectangular area is calculated by multiplying the width and the length. The patio is a square meaning the sides are of equal length, so we can use the same variable for the width and the length (for example X). Then all you have to do is solve X * X = 200. This can be done taking the following steps: X * X = 200 X multiplied by X is the same as X squared X^2 = 200 You can apply the same operator to both sides (taking the square root) sqrt(X^2) = sqrt(200) The square root of a squared number is the number itself, so X^2 just becomes X. X = sqrt(200) Now take the square root of 200 and you have your answer. X = 14.1421356237 They specifically ask the answer rounded to the nearest 0.05 this would make the answer 14.15 (for both sides).