ANSWER
[tex]W=3x-6[/tex]EXPLANATION
We have that the area of the rectangle is:
[tex]A=6x^2-12x[/tex]and the length is:
[tex]2x[/tex]The area of a rectangle is given as:
[tex]A=L\cdot W[/tex]where L = length; W = width
This means that to find the width, we can divide the area by the length.
That is:
[tex]W=\frac{A}{L}[/tex]This implies that:
[tex]\begin{gathered} W=\frac{6x^2-12x}{2x} \\ \Rightarrow W=\frac{6x^2}{2x}-\frac{12x}{2x} \\ W=3x-6 \end{gathered}[/tex]That is the width of the rectangle.
