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IMAS 2018 — Upper Primary Grades 5–6 — Round 2 Question 14

IMAS · IMAS 2018 — Upper Primary Grades 5–6 — Round 2

Question 14

In the figure, ABCD is a trapezoid, with side AD that is parallel to BC, diagonals AC and BD intersect at point O, and line OE is parallel to BC and intersects CD at point E. Now, extend OE to point F such that $OE=EF$ . If AD = 6 cm, BC =10 cm and the area of trapezoid ABCD is 64 cm² , what is the area, in cm² , of triangle ABF?

Question illustration