Question

The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perimeter would be 62 inches. What is the width and length of the rectangle?

Answer 1

Length is `21` and width is `7`

Explanation:

Ill use `l` for length and `w` for width

First it is given that `l=3w`

New length and breadth is `l+2` and `w+1` respectively

Also new perimeter is `62`

So, `l+2+l+2+w+1+w+1=62`
or, `2l+2w=56`
`l+w=28`

Now we have two relations between `l` and `w`

Substitute first value of `l` in the second equation
We get,
`3w+w=28`
`4w=28`
`w=7`

Putting this value of `w` in one of the equations,
`l=3*7`
`l=21`

So length is `21` and width is `7`