253. 
Given a point on a triangular piece of paper consider the creases that are formed in the paper when and are folded onto Let us call a fold point of if these creases, which number three unless is one of the vertices, do not intersect. Suppose that and Then the area of the set of all fold points of can be written in the form where and are positive integers and is not divisible by the square of any prime. What is ? This problem is copyrighted by the American Mathematics Competitions.

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