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Question

In the given figure, ABCD and DPQR are parallelograms. Area of ABCD is equal to the area of _______.


A
DCP
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B
DRBC
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C
ADR
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D
DPQR
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Solution

The correct option is D DPQR

(i)Join RC

(ii)area ||gm ABCD =2× area ΔDCR (||gm is twice the area of Δ on the same base and between the same ||'s)

(iii)Similarly, area ||gm DPQR =2× area ΔDCR

From (ii) and (iii)
Area of ABCD is equal to the area of DPQR.


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