SOLUTION: A square piece of paper is folded in half to make a rectangle. The perimeter of the rectangle is 34.5cm. What is the side length of the square piece of paper?

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Question 1151517: A square piece of paper is folded in half to make a rectangle. The perimeter of the rectangle is 34.5cm. What is the side length of the square piece of paper?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Let x be the side length of the square piece of paper.


Then the folded piece of paper has the side lengths x , x/2, x and x/2,  so its perimeter is


     +  +  +  = 34.5,

    3x               = 34.5,

     x               = 34.5/3 = 11.5 cm.    ANSWER

Solved.


Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


if the side of square is , and a square piece of paper is folded in half to make a rectangle, that rectangle will have sides and
if the perimeter of the rectangle is , then


,

=>the side length of the square piece of paper
check rectangle:
one side is the other side is




which confirms our answer
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