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

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Answer 1 · 2018-03-04T12:11:48

$w i d t h = 2 r - 1$ $width=2r-1$

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

In other words,

$A = l \cdot w$ $A=l*w$

$\frac{A}{l} = w$ $A/l=w$

$\frac{2 r^{2} + r - 1}{r + 1} = 2 r - 1$ $(2r^2+r-1)/(r+1)=2r-1$

The area of a rectangle is 2r2+r−12r^2+r-1. The length is r+1r+1. What simplified expression represents the width?