Five congruent squares each of area 14 support a larger square. What area is shaded?
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The water container
Month: January 2021
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The pulley problem
Two pulleys carrying three weights of 30, 70 and 50 grams. Given that the constellation is in equilibrium, what’s the angle?
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The complicated jet
Two congruent squares inside a circle. The extended diagonals meet at the circle circumference. What’s their angle?
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The bird’s-eye tipi
A regular hexagon with triangles to an internal point. What fraction is shaded?
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The drop shadow
Two congruent squares share a vertex. What’s the angle α?
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The distant Alp
A rectangle containing five triangles. What fraction is brown?
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The white flags
Three congruent squares and three shared vertices. What fraction is blue?
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The divided diagonal
A square diagonal is divided in three by a 45-degree angle. Two pieces are given, what is the length of the third?
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The dark side
A quarter circle containing two touching semicircles cut by a chord. What fraction is brown?
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The parquet floor
A unit rhombus is surrounded by four congruent parallelograms. All five quadrilaterals have equal area. What are the parallelogram sides x and y?