IMAS 2014 — Upper Primary Grades 5–6 — Round 2 Question 8

In triangle ABC, D is the midpoint of BC. E is an arbitrary point on CA, and F is the midpoint of BE. If the area of triangle ABC is 120 cm² and the area of the quadrilateral AFDC is 80 cm² , what is the area, in cm² , of triangle BDF?