Question

the length of a rectangle is 4in more than its width, and its perimeter is 34in find the length and width of the rectangle ​

Answer 1

Let
`l` and
`w` be, respectively, the length and the width of the rectangle.

If the length is 4 inches more than the width, we have

`l = w+4`

Moreover, the perimeter of a rectangle is given by

`2(l+w)`

And we can substitute
`l=w+4` to get

`2(w+4+w)=2(2w+4)=4w+8`

We know that the perimeter is 34 inches:

`4w+8=34 \iff 4w = 26 \iff w = (26)/(4)=6.5`

Which implies

`l=w+4=6.5+4=10.5`