Question

A square playground has an area of 169 square yards. There is a fence along one side of the playground. How long is the fence? The fence is yards long.

Answer 1

Work: Take the square root of 169 (which is 13)<—That equals the length of one side of the fence. The perimeter is 4 times 13 which is 52 yards. Correct Answer: 52 yards

Answer 2

The fence is 13 yards long.

Explanation:

Area of square =
`Side^2`

Let x be the side of square playground

Area of square playground =
`x^2`

A square playground has an area of 169 square yards.

So,
`x^2=169`

`x=√(169)`

`x=13`

There is a fence along one side of the playground.

So, Length of fence along one side = Length of side = 13 yards

Hence The fence is 13 yards long.