A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

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## Thursday, March 4, 2010

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Folded sheet of paper

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A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

Posted in: Logical Puzzle,Mathematics Puzzle

## 1 Answers:

Draw a straight line between the two corners used to make the fold, and consider similar triangles.

The ratio of the longer side to the shorter side is sqrt{(1+sqrt (5))/2}

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