Question

A square playground has an area of 263 ft2. What is the approximate length of each side of the playground? Round your answer to the nearest foot. 17 ft 18 ft 131.5 ft 16 ft

Answer 1

16 feet

Explanation:

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

`A=s^2`

We know that the area of the playground is 263 ft^2. Therefore,

A=263 ft^2

`263 ft^2= s^2`

We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.

`√(263 ft^2) =√(s^2)`

`√(263ft^2)=s`

`16.2172747 ft=s`

Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.

`16 ft=s`

The approximate length of each side of the playground is 16 feet.

Answer 2

Approximately 16 feet

Explanation:

If the playground has a square shape, then its area equals the square of the playground's side (S):

`S^2=263 \,\,ft^2\\S = √(263) \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft`