Geometry · Tilings · Area by dissection · Ratios
Janez drew a pattern on a sheet of paper, made up of congruent squares and congruent hexagons. On top of the pattern he then drew two dashed lines perpendicular to each other, as in the figure. What is the ratio of the area of the region covered by the squares to the area of the region covered by the hexagons?
- A \(1 : 3\)
- B \(1 : 2\)
- C \(14 : 27\)
- D \(4 : 7\)
- E \(14 : 9\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2014, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source