Question

The area of a rectangle is `2r^2+r-1`. The length is `r+1`. What simplified expression represents the width?

Answer 1

`width=2r-1`

Explanation:

I would use synthetic division to divide `2r^2+r-1` by `r+1`. The quotient is `2r-1`.

In other words,

`A=l*w`

`A/l=w`

`(2r^2+r-1)/(r+1)=2r-1`