Question 283689
let the length be x

the width will be x-3

area of rectangle = L * W

area = x(x-3)

108=x^2-3x

x^2-3x-108=0

x^2-12x+9x-108=0

x(x-12)+9(x-12)=0
(x-12)(x+9)

x=12 feet is the length of the rug

12-3 = 9 feet is the width of the rug