Question

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?

Answer 1

$l = 3w-6 \\A = l*w \\A = (3w-6)(w) \\360 = (3w-6)(w) \\ 360 = 3w^2 - 6w \\ 0 = 3w^2-6w-360 \\ 3(w^2-2w-120) = 0 \\ 3(w+10)(w-12) = 0 \\ w = 12 \\ 12*3 = 36 -6 = 30 \\ l = 30$