SOLUTION: Cecilia cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches. How long is each side of the original square paper?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Cecilia cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches. How long is each side of the original square paper?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1158538: Cecilia cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches. How long is each side of the original square paper?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the side length of the square paper.


Then each of the two rectangles has dimension  x  inches by  x%2F2 inches.


Thus the equation for the perimeter of each rectangle is

    x + x%2F2 + x + x%2F2 = 63  inches.


Simplify and find x

    3x = 63

    x  = 63/3 = 21.


ANSWER.  The side length of the paper square is 21 inch.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Each side of original, 21

One of the cut pieces now each as rectangle,
sides 2x%2B2x%2Bx%2Bx=63.
Solve for 2x.