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In the adjoining figure, MNPQ and ABPQ are parallelogram and T

Question

In the adjoining figure, $MNPQ$ and $A BPQ$ are parallelogram and $T$ is any point on the side $BP$ . Prove that
$a r (MNPQ) = a r (A BPQ)$

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Asher Discussed

In the adjoining figure,

MNPQ

and

A BPQ

are parallelogram and

T

is any point on the side

BP

. Prove that

a r (MNPQ) = a r (A BPQ)

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Text solutionVerified

From the figure we know that the parallelogram

MNPQ

and

A BPQ

are on the same base

PQ

and lie between the same parallels

PQ

and

MB

So we get

Area of parallelogram

MNPQ

= Area of parallelogram

A BPQ

Therefore, it is proved that

a r (MNPQ) = a r (A BPQ)

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Question Text	In the adjoining figure, $MNPQ$ and $A BPQ$ are parallelogram and $T$ is any point on the side $BP$ . Prove that $a r (MNPQ) = a r (A BPQ)$
Answer Type	Text solution:1
Upvotes	150