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

Question

1713 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T12:11:48

$width=2r-1$

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

In other words,

$A=l*w$

$A/l=w$

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

The area of a rectangle is 2r^2+r-12r^2+r-1. The length is r+1r+1. What simplified expression represents the width?