Question

Need to find the expression that represents the width !

Answer 1

The given area is

$A=x^3+4x^2-11x-30$

The length is

$L=x^2-x-6$

Since the rule of the area ofthe rectangle is

$A=L\times W$

Then to find the width, divide the area b the length

$\begin{gathered} W=\frac{A}{L} \\ \\ W=\frac{x^3+4x^2-11x-30}{x^2-x-6} \end{gathered}$

We will just divide thefirst terms and thelst terms to find the answer

$\begin{gathered} \frac{x^3}{x^2}=x \\ \frac{-30}{-6}=5 \end{gathered}$

Then the width is

$W=x+5$

The answer is B