Question

The length of a rectangular playground is 4 feet more than its width. The area of the playground is 140 square feet. Set up and solve an equation to find the length and width of the playground.

Answer 1

`(4+x)(x)=140`

then

`4x+x^2=140`
`x^2+4x-140=0`
`x=\frac{-4+\sqrt[]{4^2-4(1)(-140)}}{2}=\frac{-4+\sqrt[]{16+560}}{2}=(-4+24)/(2)=10`

or

`x=(-4-24)/(2)=(-28)/(2)=-14`

Since x is a width, then x cannot be a negative number then the final answer will be x=10 then the width is 10 and the length is 14