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10 triangles and 10 trapezoids , to aseemble a square

Source: V May Olympiad (Olimpiada de Mayo) 1999 L1 P4

September 17, 2022
combinatoricscombinatorial geometry

Problem Statement

Ten square cardboards of 33 centimeters on a side are cut by a line, as indicated in the figure. After the cuts, there are 2020 pieces: 1010 triangles and 1010 trapezoids. Assemble a square that uses all 2020 pieces without overlaps or gaps. https://cdn.artofproblemsolving.com/attachments/7/9/ec2242cca617305b02eef7a5409e6a6b482d66.gif