A contractor is tiling a square patio that has an area of 136 square feet. What is the approximate side length of the patio? Round to the nearest tenth of a foot. Show the steps without using a calculator.

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area = length *width

for a square length=width

given the area, to get the length, we find the square root of the area

11*11=121

12*12=144

sq root 144=12

sq root 121=11

therefore sq root 136 is between 11 and 12

sq root 136= 11.662

to the nearest tenth =11.7 feet

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