Problema Solution
The length of a garden is 3 feet longer than it's width. If the area of the garden is 54 square feet find it's dimensions.
Answer provided by our tutors
let
l = the length of the garden, l>0
w = the width of the garden, w>0
A = 54 ft^
the length of a garden is 3 feet longer than it's width
l = w + 3
the area of the garden A = l*w thus
l*w = 54
plug l = w + 3 into the last equation
(w + 3)*w = 54
by solving we find
w = 6 ft
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l = 6 + 3
l = 9 ft
the length of the garden is 9 ft
the width of the garden is 6 ft.