A rectangle of height 2 is crossed by two line segments at right angles. What is its width?
Tag: rectangle
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The Bermuda Triangle
A triangle with an inscribed rectangle. What is the maximum red fraction?
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The green flag
A square of side length 2 shares a vertex with another square that is elongated to form a green rectangle. What is the rectangle area?
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The washing line
Three squares and three common vertices. Prove that the quadrilateral ABCD is a rectangle.
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Another brick
A rectangle and a quarter circle. What is the area of the rectangle?
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The chef’s hat
Two regular hexagons connected by a rectangle. Prove that the five vertices lie on a circle.
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The throne
A rectangle with a horizontal line and a diagonal. The red and golden regions have the same area. What fraction is coloured?
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Two hefty volumes
Two congruent rectangles inscribed in a square. What fraction of the area is blue?
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The hanging door
Two congruent rectangles support a third rectangle. What fraction is blue?
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The paper hat
A rectangle and several triangles. The orange triangle has the same area as the green trapezium. What’s the total coloured fraction?