Question

The length of a rectangle is 3 inches more than twice the width. The area is 27 square inches. What is the length?

Answer 1

Length `=6 inches`

Explanation:

Area
`lxxb=27` ---------(1)

Length

`l=2b+3`
Substituting `l=2b+3` in equation (1)

`(2b+3)xxb=27`
`2b^2+3b=27`
`2b^2+3b-27=0`
`2b^2+9b-6b-27=0`
`2b(b+9)-3(2b+9)=0`
`(2b-3)(b+9)=0`
`.2b-3=0`
`2b=3`
`b=3/2`
`b+9=0`
`b=-9`

width cannot be negative. Hence
Width `=3/2`

Then Lenth

`l=2b+3`
`l=(2xx3/2)+3`
`l=6/2+3=3+3=6`