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∆ABC,D is mid point of AB,E is mid point of DB,F is mid point of BC if the area of triangle ABC is 64 then the area of ∆ABCis




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The question is not clear, what is to be calculated is not properly stated.

Area of triangle ABC
    = 2 * Area of triangle ABF , as AF is the median of triangle ABC.
     => area of triangle ABF = 64/2 =32

Area of triangle ABF
     = 2 * Area of triangle DBF ,  as FD is the median of triangle ABF
=> area of triangle DBF = 32/2=16

Area of triangle DBF =
   = 2 * Area of triangle EBF ,  as EF is the median of triangle DBF.
=> area of triangle EBF = 8

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