Area of parallelogram $A B C D$ (figure) is not equal to

$D E \times D C$

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$B E \times A D$

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$B F \times D C$

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$B E \times B C$

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Solution

The correct option is A
$D E \times D C$

Correct option: (a) $D E \times D C$
We know that,
Area of parallelogram $=$ base $\times$ corresponding height
Then,
Area of parallelogram $A B C D = D C \times B F$
Area of parallelogram $A B C D = A D \times B E$
Area of the parallelogram $A B C D = B C \times B E$ (opposite sides are equal in a parallelogram $A D = B C$ )
But, the area of the parallelogram $A B C D \neq D E \times D C$ (because $D E$ is not the corresponding height for the base $D C$ )
Hence, the correct option is (a)

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Area of parallelogram ABCD(figure) is not equal to

Area of parallelogram $A B C D$ (figure) is not equal to