Problema Solution
The area of a rectangle is 14ft, and the length of the rectangle is less 3ft less than double the width. Find the dimensions of the rectangle.
Answer provided by our tutors
let
l = the length of the garden, l>0
w = the width of the garden, w>0
A = 14 ft^2 the area of the garden
the length of the rectangle is 3ft less than double the width
l = 2w - 3
the area of the rectangle is A = l*w
l*w = 14
plug l = 2w - 3 into l*w = 14
(2w - 3)*w = 14
by solving we find
w = 3.5 ft
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l = 2*3.5 - 3
l = 4 ft
the dimensions of the rectangle are: the length is 4 feet and the width is 3.5 ft.