# Pentagon in a Square???Sounds Strange!!!

Aaron takes a square sheet of paper with one corner labelled as $$A$$. Point $$P$$ is chosen at random inside the square and Aaron folds the paper so that $$A$$ and $$P$$ coincide. He cuts the sheet along the crease and discards the piece containing $$A$$. Let $$p$$ be the probability that the remaining piece is a pentagon. Find the integer nearest to $$100p$$.

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