Question

The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of a rectangle?

Answer 1

I tried this:

Explanation:

Call the length and width `l` and `w` so we get:

`l=3w+2`

the perimeter is:

`P=100=2l+2w`

that becomes using our first expression:

`2(3w+2)+2w=100`
rearranging:

`6w+2w=100-4`
`8w=96`
`w=96/8=12m`

giving:

`l=3w+2=3*12+2=38m`