Problema Solution
The area of a rectangle is 28 yd^2 , and the length of the rectangle is 5yd less than three times the width. Find the dimensions of the rectangle.
Answer provided by our tutors
let
l = the length of the yard, l>0
w = the width of the yard, w>0
the area of a rectangle is 28 yd^2
l*w = 28
the length of the rectangle is 5 yd less than three times the width
l = 3w - 5
plug l = 3w - 5 into l*w = 28
(3w - 5)w = 28
by solving we find
w = 4 yd
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l = 3*4 - 5
l = 7 yd
the dimensions of the rectangle are 7 yd and 4 yd.