In the figure given below, AB || DC || EF, AD || BC and ED || FA. Prove that: Area of DEFH = Area of ABCD


 

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ab parallel to dc parallel to ef and ad parallel to bs and ed parallel to fa prove that defh is equal to abcd
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Parellelogram DEFH ane Parellelogram DEGA are on the same base DE and between the same parellels DE// AF, so they are equal in area.

Area of DEFH= Area of DEGA ........ 1
Parellelogram ABCD and Parellelogram DEGA are on the same base AD and between same parellels AD//BE, so they are equal in area.

Area of ABCD= Area of DEGA ........2

Hence Proved.

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From 1 and 2, Area of DEFH= Area of ABCD
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