How do I set this up and solve?

You are planning a rectangular patio with length that is 7 ft less than 3 times its width. The area of the patio is 120 ft squared. What are the dimensions of the patio?

1 answer

w(3w-7) = 120
3w^2 - 7w - 120 = 0
No rational solution.
x = (7+√1489)/6