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Line from Vertex Divides the Length of Opposite Side and Area

E is a point ...

Question

E is a point lying on AB and C is a point lying on FG and ABCD,DEFG are paralle\log rams.If the area ABCD is 100cm^2 , the find the area of DEFG

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a r e a (Δ A P B) = a r e a (Δ B Q C)

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that area of ΔAPB = area of ΔBQC. [2 MARK]

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