A unit square and a rectangle touching three square sides and passing through the midpoint of the upper side. What is the minimal blue area?
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Peeping out II
Tag: rectangle
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Peeping out
A unit square and a rectangle. What is the blue area?
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Uneven brickwork
A rectangle is divided into six rectangles of equal area. What fraction is green?
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Between the lines II
Two rectangles are at right angles and have equal area. Prove that the three black lines are parallel.
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A golden year
Two squares, a rectangle and a semicircle. What is yellow : green?
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The brick oven
Five congruent rectangles. What’s their proportion width : height (aspect ratio)?
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The brick pile
Three congruent rectangles inscribed in a triangle. What fraction is 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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Crazy hat
The diameter of the semicircle is a side of a rectangle. Show that for any such rectangle, and any point along its top edge, the configuration produces three collinear red dots.
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Three octagons
The rectangles are 3 by 4. Which of the three bounding octagons have similar shape?