the length of a rug is 6 ft more than the width. the area is 40^2 ft. find the length and width of the rug.

x * (x+6) = 40

x^2 + 6x = 40

x^2 +6x - 40 = 0

factor:
(x-4) (x+10) = 0

x = 4, -10

width = 4

length = 6 +4 = 10

length = 10 feet , width = 4 feet