Question

The length of a rectangle is 7 yards less than three times the width, and the area of the rectangle is 66 square yards, find the dimensions of the rectangle

Answer 1

Answer:

length = 11

width = 6

Step-by-step explanation:

The area of a rectangle is defined by the following formula:

$A=lw$

The question content tells us this:

$l=3w-7\\A=66$

If we plug these into our formula, we can find the dimensions.

$66=w(3w-7)\\66=3w^2-7w$

Once we factor this out, we find that $w=6$ and $w=-\frac{11}{3}$

Since a side length can't be a negative, our width is 6.

$66=6l\\11=l$