Geometry · Parallelogram area · Altitudes · Intersection of strips · Perimeter

Problem 3, 2021

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Peter covered a wound with two rectangular plasters, laid across each other as in the picture. The region covered by both plasters at once has area \(40 \ \mathrm{cm}^{2}\) and perimeter \(30 \ \mathrm{cm}\). The upper plaster is \(8 \ \mathrm{cm}\) wide. How many centimetres wide is the lower plaster?

8 cm ?
The shaded region is covered by both plasters. The drawing is schematic.
  1. A \(3\)
  2. B \(4\)
  3. C \(5\)
  4. D \(6\)
  5. E \(16\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2021, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source