A rectangle with given side lengths is folded back and forth such that the corner touches the opposite side as shown. What is the minimal shaded fraction?
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The sneak peek
Tag: fraction
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Spiegel im Spiegel
A triangle with an inscribed triangle. What fraction of the former does the latter cover in terms of lengths a, b, c, d, e and f?
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The green necktie
A square with several line segments. What fraction is green?
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The red triangle
A square containing an isosceles triangle with given side lengths. What fraction is red?
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Confined enclosure
A square containing four smaller squares. What fraction of its area is orange?
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The inner diamond
A triangle with side lengths a and b and an inscribed rhombus. What is the blue fraction in terms of a and b?
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House of the rising sun
A semicircle, a circle, a square and an equilateral triangle. The two points are the tangency point and the semicircle centre. What fraction of the total area is yellow?
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Eye of the apple
A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?
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Three squares a day
Three congruent squares inscribed in a rectangle. What fraction of the total area is green?
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Similar intention
A cyclic quadrilateral and two diagonals. What fraction of its area is blue?