Question

The perimeter of a rectangular carpet is 54ft. The lenght is 3ft greater than the width. How do you find the length and width?

Answer 1

Length is 15 feet; Width is 12 feet

Explanation:

Define:
`color(white)("XX")P = " perimeter"`
`color(white)("XX")L = " length"`
`color(white)("XX")W = " width"`

`P =2(L+W)= 54`
`color(white)("XX")rarr L+W = 27`

`L = W+3`
`color(white)("XX")rarr (W+3)+W = 27`

`color(white)("XX")rarr 2W=24`

`color(white)("XX")rarr W=12`

and since `L=W+3`
`color(white)("XX")L=15`