Answer:
length = 11
width = 6
Step-by-step explanation:
The area of a rectangle is defined by the following formula:
[tex]A=lw[/tex]
The question content tells us this:
[tex]l=3w-7\\A=66[/tex]
If we plug these into our formula, we can find the dimensions.
[tex]66=w(3w-7)\\66=3w^2-7w\\[/tex]
Once we factor this out, we find that [tex]w=6[/tex] and [tex]w=-\frac{11}{3}[/tex]
Since a side length can't be a negative, our width is 6.
[tex]66=6l\\11=l[/tex]
