SOLUTION: A square has 4 equal sides. When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed. The perimeter of the rectangle is

Algebra ->  Rectangles -> SOLUTION: A square has 4 equal sides. When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed. The perimeter of the rectangle is      Log On


   



Question 270012: A square has 4 equal sides. When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed. The perimeter of the rectangle is three times the perimeter of the original square. Find the length of one side of the square.
I'm stumped on even figuring a formula for this. I would appreciate any help at least getting started.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let the a side of the original square be x.
After the transformation 2 sides are still each x and one side is x+4 and the adjacent is 4x.
P=2x+x+4+4x=7x+4
7x+4=12x (3 times the original perimeter)
5x=4
x=0.8 m
.
Ed