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.
 


See also: Typography and poster of problem 1408.
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