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AMO · 2027 · Grades 4-5 · Self-study SET 30 Question 2

AMO

Question 2

Four shaded right-angled triangles with leg lengths 1 cm × 4 cm, 2 cm × 4 cm, 3 cm × 4 cm and 4 cm × 4 cm fit together to form a quadrilateral. It fits inside a 5 cm × 8 cm rectangle as shown. Find the area of the quadrilateral, in square centimetres. The legs are the two sides beside the right angle.

Question illustration

Enter one whole number, without units.