A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?

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geometry puzzles for fun and beauty

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A rectangle with two crossing line segments. What’s the minimal shaded fraction?

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A right triangle is split in two. What is the maximum yellow fraction?

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A semicircle containing two equilateral triangles containing a circle. What fraction is blue?

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A triangle with an inscribed square. What fraction is yellow?

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A rectangle inside a square. One of its sides is tangent to the quarter circle. What fraction is green as x approaches 0?

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Two regular hexagons share two vertices. What fraction of the area is purple?

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Two congruent circles and a triangle are contained in a circle. What fraction is coloured?

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Three congruent right triangles. What fraction is shaded?

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Four squares inside another square. What fraction is yellow?