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MathNet 2013 Question 37

Math Olympiad Vault · MathNet 2013

Question 37

The lines drawn parallel to the sides of an isosceles triangle divide the triangle into three congruent equilateral quadrilaterals, three congruent trapeziums and one isosceles triangle in the middle. If the area of the triangle in the middle is twice the area of each equilateral quadrilateral, what is the share of the area of each trapezium in the area of the original triangle?