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AMO 2018 — Primary 6 (Grade 6) Question 17

AMO · AMO 2018 — Primary 6 (Grade 6)

Question 17

Consider four right angled triangles with leg lengths 1 cm × 4 cm, 2 cm × 4 cm, 3 cm × 4 cm, and 4 cm × 4 cm. Arrange the four triangles, without overlap. What is the smallest possible area, in square cm, of the rectangle that can fit them? (Legs of a right-angled triangle are the sides beside the right angle)