Problema Solution
The length of a rectangle is one and a half times its width. If the length is decreased by 3 and the width is increased by 3, the rectangle would be a square. Find the length and the width of the rectangle.
Answer provided by our tutors
let
l = the length of the rectangle
w = the width of the rectangle
the length of a rectangle is one and a half times its width
l = 1.5*w
if the length is decreased by 3 and the width is increased by 3, the rectangle would be a square
l - 3 = w + 3
plug l = 1.5*w into the last equation
1.5w - 3 = w + 3
by solving we find
w = 12
click here to see the step by step solution of the equation
l = (1.5)*12
l = 18
the length is 18 while the width is 12.