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

DPQR

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DCP

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ADR

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DRBC

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Solution

The correct option is A DPQR

(i)Join RC

(ii)area ||gm ABCD $= 2 \times$ area $Δ D C R$ (||gm is twice the area of $Δ$ on the same base and between the same ||'s)

(iii)Similarly, area ||gm DPQR $= 2 \times$ area $Δ D C R$

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

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