A regular hexagon with a diagonal and a circular arc centred in a side midpoint. What fraction is yellow?
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Rising bread
Tag: area
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The double bottom
A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?
A square contains a yellow right triangle with an area of 11. What is the square’s area?
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Black and blue
A square with an extended side inside another square. What fraction of the latter is blue?
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Almost sunk
A square contains a right triangle. What fraction is red?
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The Santos conundrum
A triangle is divided by three line segments into five smaller triangles. What is its area expressed in terms of areas A, B and C?
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A light packing
A triangle containing two congruent squares. Each square has 1/3 the perimeter and 1/6 the area of the triangle. What’s the triangle side length proportion a : b : c?
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The triskelion
A circle containing an equilateral triangle and three squares. What fraction is purple?
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The Christmas star
Two congruent concentric equilateral triangles. Prove that the gold fraction is red/blue.
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The seesaw
A regular hexagon with three diagonals and two line segments at right angles. What is the proportion green : yellow : blue : orange?