a farmer is trying to create an enclosure

Question

A farmer is trying to create an enclosure such that the area of the enclosure is 24 square feet with a length of x and a width that is 5 feet shorter than the length. Find the dimensions of the enclosure.

Answer 1

x(x-5) = 24

x^2 -5x = 24

x^2 -5x -24 = 0

(x-8)(x+3) = 0

x =8 feet long

x-5 = 3 feet wide