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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