a square flower garden has an area of 136ft squared find the length of one side of the playground to the nearest tenth of a foot
+130516 Area of a square = side^2
136ft^2 = side^2 take the square root of both sides
sqrt(136) ft = side
sqrt(68 * 2) ft = side
sqrt( 4 * 17 * 2) ft = side
2*sqrt(34) ft = side
The area of a rectangle = length * width. Since we know this is a square, that means that all the sides are equal (the same length). Therefore, the area of a square is = s * s, or s2, where s is the length of any side. We know the area, but we don't know the length of the sides, so plug the known and unknown variables into the equation: s2 = 136 ft2. Now how do we get rid of the power of 2 on s? Take the square root. \(\sqrt{s^{2}} = \sqrt{136}\), which equals \(s = \sqrt{136}\). Using a calculator we see that s = 11.7 ft, rounded to the nearest tenth of a foot.
