CBSE Class 9 Answered
area ABCD
(ii)
Area APD + Area PBC = area APB + area PCD
Expert Answer
(i) Through point P draw a line parallel to AB.
Now, AXYB and XDCY are two parallelograms.
area APB + area PCD = 
(area AXYB +
area XDCY)
area APB + area PCD = area ABCD …..(1)
(ii) Similarly, we draw a line MN parallel to AD through P.
Now, AMND and MNCB are two parallelograms.
area APD + area BPC
= (area AMND +
area MNCB)
area APD + area BPC = area ABCD …….(2)
Comparing (1) and (2),
area APB + area PCD = area APD + area BPC
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