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?

Mathematics

1 answer:

aleksandr82 [10.1K]4 years ago

6 0

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

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