SOLUTION: sooo. please answer this. a square and a rectangle have the same perimenter the length of the rectange is 4cm less than twice the side ofthe square, and the width of the rectan

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Question 256957: sooo.
please answer this.
a square and a rectangle have the same perimenter
the length of the rectange is 4cm less than twice the side ofthe square, and the width of the rectangle is 6 cm less than the side of the square. Find the perimeter of each figure.
please answer with use one variable

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the measure of the side of the square. Then:

Length of rectangle:

Width of rectangle:

The perimeter of a square is 4 times the measure of a side. The perimeter of a rectangle is 2 times the measure of the length plus 2 times the measure of the width. Further, the two perimeters are equal, so:



Solve for , then multiply by 4 to give the perimeter of the square which is equal to the perimeter of the rectangle.

John