Question

the length of a rectangle is 2 inches more than the width. The area is 24 square inches. Find the dimensions

Answer 1

Given:

length(l) = width(w) + 2

`\text{Area}=24`
`l* w=24`
`(w+2)w=24`
`w^2+2w-24=0`
`(w+6)(w-4)=0`
`w=4\text{ or -6}`

Negative not possible.

`\text{width(w)}=4\text{ inches}`
`\text{length(l)}=w+2`
`\text{length of the rectangle=4+2}`