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

`\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.