Let width = x
Let length = 2x + 11
Area = 63 ft2
length × width = Area
x(2x + 11) = 63
2x2 + 11x = 63
Subtract 63 on both sides of equation.
2x2 + 11x - 63 = 0
Factor the left side of equation.
(2x - 7)(x + 9) = 0
x = 7/2 and x = -9
Since the dimensions cannot be negative, we accept the positive value of x: x=7/2. Substitute this value of x into the dimensions
width = 3.5 ft
length = 2(3.5) + 11 = 7 + 11 = 18 ft
