Chapter 8.5, Problem 59PFA

To determine

To find: The expression that represents the width of the rectangle.

Answer to Problem 59PFA

Width of the rectangle is $\left(3x-7\right)$

A is the correct option.

Explanation of Solution

Given:

Vertical rectangle having length $2x$ and having area $6x^2-14x$ units

Options are

  $\begin{array}{l}\mathrm{A }3x-7\\ \mathrm{B }3x-14\\ \mathrm{C }2x\\ \mathrm{D }3x^2-7x\end{array}$

Calculation:

The area of the rectangle is represented by $6x^2-14x$

Factored out the GCF

  $2x\left(3x-7\right)$

Area of rectangle is the product of length and the width. Since, the length is given by $2x$

Hence, the width must be $\left(3x-7\right)$

A is the correct option.