Question 300684
let the width of the rug be x feet

the length will be x+2

Area of triangle = 1/2 * side1 * side2 since it is right angled

12= 1/2 x(x+2)

24 = x^2 +2x

x^2 +2x-24 = 0

x^2+6x-4x-24 =0

x(x+6)-4(x+6)=0

(x+6)(x-4) =0

x=-6 or x=4

4feet is the width of the rug