SOLUTION: A sheet of paper is 11 inches long. When it is folded in half on the dotted line, as shown, the ratio of length to width remains unchanged. What was the width of the original sheet

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A sheet of paper is 11 inches long. When it is folded in half on the dotted line, as shown, the ratio of length to width remains unchanged. What was the width of the original sheet      Log On


   



Question 154849: A sheet of paper is 11 inches long. When it is folded in half on the dotted line, as shown, the ratio of length to width remains unchanged. What was the width of the original sheet of paper?
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the width of the original paper.
DIMENSIONS BEFORE FOLDING:
length: 11
width: x
DIMENSIONS AFTER FOLDING
length: x
width: 11/2
As the ratio of length to width remains unchanged, we have
11 : x = x : 11/2
Cross-multiplying it, we have
x%5E2=11%5E2%2F2
Solving for x, we have
x=sqrt%2811%5E2%2F2%29=11%2Fsqrt%282%29