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* W`

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

`\begin{gathered} W=(A)/(L) \\ \\ W=(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} (x^3)/(x^2)=x \\ (-30)/(-6)=5 \end{gathered}`

Then the width is

`W=x+5`

The answer is B