Geometry · Equilateral triangles · Area ratio · Dissection · Similarity scaling
The horizontal segment in the picture is divided into six parts of equal length, and every triangle appearing in the picture is equilateral. The whole figure is shaded in two colours, light grey and dark grey. What fraction of the area of the whole figure is shaded dark grey?
- A \(\tfrac{1}{3}\)
- B \(\tfrac{2}{9}\)
- C \(\tfrac{5}{21}\)
- D \(\tfrac{6}{25}\)
- E \(\tfrac{7}{27}\)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2018, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source