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

length = 11

width = 6

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=-(11)/(3)`

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

`66=6l\\11=l`