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Possible 12-Gon Construction?

Source: Sharygin Geometry Olympiad 2014 - Problem 2

November 15, 2014
geometry unsolvedgeometry

Problem Statement

A paper square with sidelength 22 is given. From this square, can we cut out a 1212-gon having all sidelengths equal to 11 and all angles divisible by 45āˆ˜45^\circ?
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