Area = Length x Width = lw
Width = l + 5
Area = 66 square feet
Area = 66 = l(l + 5)
66 = l2 + 5l
A quadratic can be applied here
0 = l2 + 5l - 66
Factoring
(l + 11)(l - 6) =0
l cannot be -11
l = 6
Width = l + 5 = 6 + 5 = 11
The rectangle has a length of 6 feet and a Width of 11 feet.