A rectangle with a diameter and two inscribed squares. What is its area in terms of the square areas A and B?
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The letter box
Tag: area
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Brothers in arms
The tangency points of two tangents of a circle are connected. Three perpendiculars are drawn from a point on the circle, of which two have a given length. What’s the proportion red : yellow?
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The tornado
A quadrilateral covers exactly half of the area of a rectangle. Find the length x in terms of a, b and c.
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David and Goliath
Two squares share a vertex. What’s the proportion blue : green?
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The molecule
Three semicircles of which two centres are connected to corner points. What is the area X in terms of A and B?
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The square telescope
Three squares and four extended sides. What is the yellow area X in terms of blue and green areas A and B?
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The tipping point
Two touching circles, two diameters and two common tangents. What is the area of the green quadrilateral in terms of radii x and y?
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The chocolate muffin
Four isosceles triangles of base 1 and four of base √2 share their top vertex. What is the proportion brown : gold?
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Arc de Triomphe
A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?
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The giant’s shoulder
Two equilateral triangles inside a square. What’s the proportion orange : blue?