Circles P and Q have radii 1 and 4 respectively and are externally tangent at point A. Point B is on P and point C is on Q such that BC is a common external tangent of the two circles. A line L through A intersects P again at D and intersects Q again at E. Points B and C lie on the same side of the line L and the areas of triangle DBA and triangle ACE are equal. Find this common area.