A square containing a rectangle. What is the red fraction?
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Stars on 45
Tag: square
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Staying in line
Three squares and a regular pentagon. Prove that the three red vertices are collinear.
Two squares and some line segments. Find the relation between the angles α and β.
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Four squares
How does the average of the areas of the blue and green squares compare with the area of the purple square?
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Pandora’s box II
Five squares and a diagonal. What fraction of the largest square is coloured?
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What’s your angle?
Six squares are placed as shown. What’s the angle α?
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The square sail
A quadrilateral and a parallelogram share two sides, and a vertex from each determine the orange square. The lengths BC, EF, AD are 4,5,7 respectively, where E and F are midpoints of AB and DC. What is the orange area?
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Under the dome
Two semicircles with four squares and a yellow rectangle. What is the aspect ratio of the latter?
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Six six four
Two regular hexagons and a square. What’s the angle α?
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Square offspring
Three squares and two line segments. What’s the angle α?