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square paper folding (May Olympiad 2013 L1)

Source:

May 11, 2019
geometrysquarepaperperimeter

Problem Statement

Let ABCDABCD be a square of side paper 1010 and PP a point on side BCBC. By folding the paper along the APAP line, point BB determines the point QQ, as seen in the figure. The line PQPQ cuts the side CDCD at RR. Calculate the perimeter of the triangle PCR PCR https://3.bp.blogspot.com/-ZSyCUznwutE/XNY7cz7reQI/AAAAAAAAKLc/XqgQnjm8DQYq6Q7fmCAKJwKt3ihoL8AuQCK4BGAYYCw/s400/may%2B2013%2Bl1.png
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