Answer :

It is given that ABCD is a parallelogram. We know that opposite sides of a parallelogram are equal

AD = BC (i)


Similarly, for parallelograms DCEF and ABFE


DE = CF (ii)


And,


EA = FB (iii)


In ΔADE and ΔBCF,


AD = BC [Using equation (i)]


DE = CF [Using equation (ii)]


EA = FB [Using equation (iii)]


ΔADE BCF (SSS congruence rule)


Area (ΔADE) = Area (ΔBCF)


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