# Optimize the Length of the Crease of a Folded Piece of Paper

Optimize the Length of the Crease of a Folded Piece of Paper

A sheet of legal paper is 8.5 by 11.75 inches long. The lower-left corner is brought to a point inches from the upper-left corner and folded to form a crease. This Demonstration shows a graph of the crease length as a function of and a diagram of the folded paper. By moving the slider, you can estimate the length of the shortest and longest possible crease. The exact shortest possible crease (≈11.04) and the exact longest possible crease ((47-9≈12.78) may be determined by using Mathematica or traditional calculus techniques.

x

x

51

3

8

47

68

47

2

13

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