Problema Solution
The length of a rectangular garden is 6 feet less than 3 times it's width. The area is 360 square feet. What is the length of the garden?
Answer provided by our tutors
let
l = the length of the garden, l>0
w = the width of the garden, w>0
A = 360 ft^2 the area of the garden
The length of a rectangular garden is 6 feet less than 3 times it's width
l = 3w - 6
The formula for the area is A = l*w
l*w = 360
plug l = 3w - 6 into the last equation
(3w - 6)*w = 360
by solving we find
w = 12 ft
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l = 3*12 - 6
l = 36 - 6
l = 30 ft
the length of the garden is 30 feet.