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 maximum square folding (Posted on 2008-10-16)
Start with a square piece of paper. Label the vertices ABCD. Pick a point on CD and label it E. Fold along the line BE. Label the new location of C as C'. Find the point F on AD such that when folding along BF it makes the new location of A coincide with C'. Now lastly find a point G on AD such that when folding along EG it makes the new location of D lie on EF (either EC' or A'F). After all 3 of these folds are completed you should have a new irregularly shaped quadrilateral FBEG.

For simplicity's sake assume the original square is of unit length. Now the 2 problems are:

1) If x is the length of CE, then give an equation for the area of FBEG based on x.

2) Find the x that maximizes the area of FBEG

 See The Solution Submitted by Daniel Rating: 2.0000 (1 votes)

 Subject Author Date numerical solution Charlie 2008-10-16 15:44:40 Solution Bractals 2008-10-16 15:36:53

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