Question

the width of a rectangle is 6inches less than twice it’s length. Find the dimension of the rectangle if it’s area is 108 square inches

Answer 1

Width =
`12` Length =
`9`

Explanation:

We have to first find an equations with the given variables:

`w = 2L - 6`

Now apply the area format:

`Length * Width`

Since the area is 108 square inches

`108 = l * w`

`108 = l(2l-6)`

`108 = l(2l) + l(-6)`

`108 = 2l^2 - 6l`

Simplify:

`(l-9) * (l+6) = 0`

Since no number can be negative

`w = 2*9(L)-6`

`w = 12`

`l=9`