The figure below shows a triangle ABC. Line DE intersects a cevian BF at
G. If area of triangle BDG = 7, area of triangle BGE = 8, area of
quadrilateral ADGF = 14, and 4.(BC.BD) = 3.(AB.BE), find the area of
quadrilateral FGEC.

### Geometric Art of Problem 1422: Sketching, Typography, iPad Apps

See also:
Typography and poster of problem 1408.

###