Question -
Answer -
It is given that
Area (ΔDRC) = Area (ΔDPC)
As ΔDRC and ΔDPC lie onthe same base DC and have equal areas, therefore, they must lie between thesame parallel lines.
∴DC || RP
Therefore, DCPR is atrapezium.
It is also given that
Area (ΔBDP) = Area (ΔARC)
⇒Area (BDP) − Area (ΔDPC) = Area (ΔARC) − Area (ΔDRC)
⇒Area (ΔBDC) = Area (ΔADC)
Since ΔBDC and ΔADC are onthe same base CD and have equal areas, they must lie between the same parallellines.
∴AB || CD
Therefore,ABCD is a trapezium.