1 Answer

David Herron · Answer 1 · 2021-07-24T19:09:43+0000

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,
. 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.

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