Question

The length of a rectangular carpet is 4 feet greater than twice its width. If the area is 48 square feet, find the carpet’s length and width.

Answer 1

l = 2w + 4

l * w = 48

We can substitute l with its value:

2w + 4 * w = 48

2w^2 + 4w - 48 = 0

2(w^2 + 2w - 24) = 0

2(w+6)(w-4) = 0

w = {4, -6}