A rectangle is divided into four similar triangles. What fraction is blue?
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The triangular tiling
Tag: rectangle
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The righteous four
Four rectangles. The green and red rectangle are similar. What’s the area proportion of the orange and the blue rectangle?
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The misfit
A rectangle is inscribed in a regular hexagon, covering 14/27 of its area. What is red : yellow : green?
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Five to twelve
A square and a rectangle share two vertices. If the square has twice the area of the rectangle, what’s the angle α?
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The maxbox
A square containing a red square of variable size sharing a vertex with a blue rectangle. What is the maximal blue fraction?
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Lopsided
The apex of a parabola is the shared vertex of two rectangles. Proof that the rectangles are similar.
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The bell tolls
An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?
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The high seas
A rectangle containing four triangles. What is the total area?
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Overhanging rock
A rectangle with three line segments. What’s the proportion red : yellow?
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The secret document
One corner of a rectangular piece of paper is folded back and forth to the opposite side. What is the proportion red : blue?