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2

Part of 2020 South Africa National Olympiad

Problems(1)

SAMO Problem 2: Area of rhombus overlapping a square

Source: South African Mathematics Olympiad 2020, Problem 2

1/17/2021
Let SS be a square with sides of length 22 and RR be a rhombus with sides of length 22 and angles measuring 60∘60^\circ and 120∘120^\circ. These quadrilaterals are arranged to have the same centre and the diagonals of the rhombus are parallel to the sides of the square. Calculate the area of the region on which the figures overlap.
geometryrhombusareasquare