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← Regijsko tekmovanje (regional round) 2013Regional

Geometry · Dissection · Area preservation · Similar triangles · Pythagorean theorem · Rectangle to square

Problem 5, 2013

RegionalEnter the answer

Three straight cuts divide a rectangle into four pieces, as shown in the figure; the cut meeting the top edge is perpendicular to it. The four pieces are then rearranged, without gaps or overlaps, into a square. What is the perimeter of that square?

12 9 5 10 3
The labels \(5\) and \(10\) are the two parts of one and the same cut.

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2013, 1. letnik, category A, problem B2. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source

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