Question

The perimeter of a rectangle is 36 meters. The length of the rectangle is 4 meters longer than the width. What is the length and width of the rectangle?

Answer 1

Length `11m` and width `7m`. The step by step explanation on working is given below.

Explanation:

Perimeter of rectangle is given by the formula `P=2(l+w)`

From the information we use `P = 36`.
Also given length is 4m longer than width, so if `w` is width then `l=w+4`

Let us setup the equation as

`36= 2(l+w)`
`36/2 = 2/2(l+w)`

`18 = l+w`

We know `l=w+4` substituting this

`18=w+4+w`

Simplifying further
`18=2w+4`
`18-4=2w+4-4`
`14=2w`
`14/2=2w/2`
`7=w`
`w=7`
`l=w+4`
`l=7+4=11`
`l=11`

Answer length = `11m` and width = `7m`