Problema Solution
The length of a rectangle is 8m less than three times the width, and the area of the rectangle is 35m2 . Find the dimensions of the rectangle.
Answer provided by our tutors
let
w = the width of the rectangle, w >0
l = the length of the rectangle, l>0
length of a rectangle is 8m less than three times the width
l = 3w - 8
the area of the rectangle is 35m2
w*l = 35
plug l = 3w - 8 into the last equations w*l = 35 we get
(3w - 8)w = 35
by solving the quadratic equation we find and consider the positive roots only
w = 5 m
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l = 3*5 - 8
l = 7 m
the dimensions of the rectangle are 7 m and 5 m.