Question

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

Answer 1

Answer:

$\boxed {\tt 11.6 \ feet}$

Step-by-step 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.

$\sqrt{135 \ ft^2} =\sqrt{s^2}$

$\sqrt{135 \ ft^2} =s$

$11.61895 \ ft =s$

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.