SOLUTION: A rectangle has a length of 1 meter less than twice its width. If 1 meter is cut from the length and added to the width, the figure becomes a square with an area of 16 square meter

Algebra ->  Rectangles -> SOLUTION: A rectangle has a length of 1 meter less than twice its width. If 1 meter is cut from the length and added to the width, the figure becomes a square with an area of 16 square meter      Log On


   



Question 939457: A rectangle has a length of 1 meter less than twice its width. If 1 meter is cut from the length and added to the width, the figure becomes a square with an area of 16 square meters. Find the dimensions of the original rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
w the original width
(2w-1 - 1)(w+1) = 16m^2 (a Square 4 by 4)
...either(2w+2) 0r (w+1) = 4
w + 1 = 4m
w = 3m and L = 5m 2%2A3-1
...
and...checking
If 1 meter is cut from the length and added to the width ...
4cm(4cm) = 16m^2