In the diagram, triangle BDF and ACE have the same area. If DB = 2, BA = 4, and AE = 3, find the length of EC.
If [BDF] = [ACE] then ΔABE ~ ΔADC
AB / AE = AD / AC
AC = 4.5
EC = 1.5
Corrections: If [BDF] = [EFC] then ΔABE ~ ΔADC