In triangle ABC, E is a point on AC and F is a point on AB. BE and CF intersect at D. If the areas of triangles BDF, BCD and CDE are 3, 7 and 7 respectively, what is the area of the quadrilateral AEDF?
I tried to solve the question as the ratios of the areas of pentagon EDFBC and the area of the quadrilateral AEDF. Area of pentagon = 17. I couldn't proceed from here. Please advise.