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IMAS 2017 — Upper Primary Grades 5–6 — Round 2 Question 11

IMAS · IMAS 2017 — Upper Primary Grades 5–6 — Round 2

Question 11

In the figure below, ABCD is a right trapezoid where $\angle ABC=\angle BCD=90^\circ$ , AB = 3 cm, CD = 9 cm. Points E and F are on CD and BC respectively. If BF = 2 cm and AE with EF divides the trapezoid into three parts with equal area, what is the area, in cm² , of ABCD?

Question illustration