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A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?

1 Answer

5 votes

Answer:


\boxed {\tt 11.6 \ feet}

Explanation:

The area of a square can be found using the following formula.


A=s^2

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.


135 \ ft^2=s^2

We want to find the side length. We must isolate the variable,
s. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.


√(135 \ ft^2) =√(s^2)


√(135 \ ft^2) =s


11.61895 \ ft =s

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.


11.6 \ ft \approx s

Each side of the patio is about 11.6 feet.

User David Herron
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