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What is the ratio of the width to length of a folded sheet of paper if the rectangle formed when the sheet is folded in half (as shown below) is similar to the original rectangular sheet? Express your answer as a common fraction in simplest radical form. (Assume the width of the original sheet of paper becomes the length of the folded sheet.)

 Oct 17, 2020
 #1
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The ratio is sqrt(5)/2.

 Oct 17, 2020
 #2
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proof?

Guest Oct 17, 2020
 #3
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Like so:

 Oct 17, 2020

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