Apatio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. the patio is 5 feet less wide than it is long. what information can be used to solve the problem?

A patio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. The patio is 5 feet less wide than it is long. What information can be used to solve the problem?  Since the geometric formula for rectangle to determine its perimeter is: 

P = 2l + 2w
The given values fit the given formula
The given values are 134
Let L = 5 - w
Solution:
P = 2l + 2w
134 = 2(5-w) + 2w 134 = 10-2w + 2w 134 – 10 = 4w 124 = 4w
31 = w
26 = l