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Cut a rectangle into pieces and rearrange them into a square

Source: Tournament of Towns Spring 2003 - Senior O-Level - Problem 5

June 14, 2011
geometryrectanglecombinatorics proposedcombinatorics

Problem Statement

Prove that one can cut a×ba \times b rectangle, b2<a<b\frac{b}{2} < a < b, into three pieces and rearrange them into a square (without overlaps and holes).
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