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rectangle with ratio of sides \sqrt2 by square sheet of paper

Source: Oral Moscow Geometry Olympiad 2023 8-9 p2

February 26, 2024
ratiogeometryrectanglepaper

Problem Statement

There is a square sheet of paper. How to get a rectangular sheet of paper with an aspect ratio equal to 2\sqrt2? (There are no tools, the sheet can only be bent.)