Two squares, a rectangle and a semicircle. What is yellow : green?
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A golden year
Tag: proportion
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The brick oven
Five congruent rectangles. What’s their proportion width : height (aspect ratio)?
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Decorating the tree
A symmetric tree has decorative lines of equal slope, and of lengths 11 and 13. What is the area ratio of green to red to brown?
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The mis-stacked trays
A rectangle is turned 90°, bisecting a bigger rectangle of the same shape. When squares are removed from the two side pieces, the remaining rectangles have the same shape as well. What is the common ratio of the rectangle side lengths?
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Compartmentalization
A square with two circles and two common tangents. What’s red : blue?
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Scratching the surface II
Two equilateral triangles, the smaller one being of variable size. What is the minimum value of orange : blue?
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Through the roof
A semicircle with its centre. What is green : red in terms of the angles α and β?
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Snow man scarf
Show that blue = red if and only if purple = orange.
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The propeller
The blue square blades are twice as long as the red triangle sides. What is the ratio of red to yellow areas?
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Connected centres
Two quarter circles and a semicircle. The blue points are quarter and semicircle centres. What is red : green?