Question

A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 24 in. more than the width. What are the dimensions of the carpet?

Answer 1

Let the length = L and the width = W

Given : `L = 24 + W` and
`2L+2W=240`

Now, solve for L and W using algebra ...

Explanation:

Using substitution ...

`2L+2W=240`

`2(24+W)+2W=240`

Simplify and solve for W ...

`48+4W=240`

`4W=192`

`W=48`

Now, solve for L ...

`L = 24 + W=24+48=72`

In summary,

`L=72` and `W=48`

hope that helped!