The length of a rectangular garden is 6 feet less than 3 times its width. The area is 360 square feet. What is the length of the garden?

Width = w

Length = 3w - 6

Area = 360

Equation Area = wl

w (3w-6) = 360

3w^2 - 6w = 360

3w^2 - 6w - 360 = 0

3 (w^2 - 2w - 120) = 0

3 (w + 10) (w - 12) = 0

w = - 10 & 12

l = 3w-6 = 3 (-10) - 6 = - 30 - 6 = - 36

l = 3w-6 = 3 (12) - 6 = 36-6 = 30

Answer: - 10 and 12. Yet, since this is a measurement, it must be positive so 12 ft