A square with two inscribed squares. What is the maximal proportion green : blue?
Categories
The oppressed minority
Tag: area
Categories
Ceteris paribus
Three circles with their centres and a triangle ABC. Given that D is the midpoint of BC, prove that quadrilateral ABEF and triangle ECF have both equal perimeter and equal area.
Categories
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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La Sagrada Familia
Two congruent right triangles on a common baseline have an overlap of variable size. What is the proportion of the minimal area to the maximal area?
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The road less traveled
What is the area of the trapezium in terms of lengths a and b?
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Cherry picking
Two quarter circles and a red circle tangent to two chords. What fraction is red?
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Pointing upwards
A square containing two equilateral triangles. What’s the proportion blue : orange?
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The night sky
A semicircle containing two equilateral triangles and a circle. What’s the yellow fraction?
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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 parachute
A circular sector is divided as shown. What fraction is red?