A quarter circle inside a square divides a line segment in parts of length 4 and 6. What is the square’s area?
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Life is a dance
Tag: square
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Composition in red, blue and yellow
A rectangle containing red and blue squares and a yellow rectangle. What is the proportion red : (blue+yellow)?
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The dark lord
Two congruent equilateral triangles and two squares. What’s the angle α?
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The green zone
A quarter circle and a right triangle inside a square. One of the vertices of the triangle is the square’s centre. What fraction of the square’s area is green?
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The open book
Three squares share four vertices. What is the proportion of the line segment lengths a and b?
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The balancing act
A square with two perpendicular lines. What is the minimal blue fraction?
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Softening the edges
A quarter circle contains a semicircle and a square. What fraction of the area is purple?
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The honeycomb
Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
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The folded napkin
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
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Together we stand
Two squares sharing a vertex. What’s the angle α?