Question: A rectangular sheet of 8.5-in.-by-11-in. paper is placed on a flat surface. One of the corners is placed on the opposite longer edge, as shown

A rectangular sheet of 8.5-in.-by-11-in. paper is placed on a flat surface. One of the corners is placed on the opposite longer edge, as shown in the figure, and held there as the paper is smoothed flat. The problem is to make the length of the crease as small as possible. Call the length L. Try it with paper.

a. Show that L² = 2x³/(2x - 8.5).

b. What value of x minimizes L²?

c. What is the minimum value of L? R VE - x2 D A L Crease X P C B

R VE - x2 D A L Crease X P C B Q (originally at A)

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