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MNOP is a parallelogram. Q and R are poi...

MNOP is a parallelogram. Q and R are point on sides MN and ON respectively. `(trianglePRM)=12cm^2`, find `ar(trianglePOQ)`

Text Solution

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`Delta PRM` and parallelogram `MNOP` have same base and `R` is a point on side `ON` of the parallelogram.
`:. ar(MNOP) = 2**ar(PRM) = 2**12 = 24cm^2`
Now, `Delta POQ` and parallelogram `MNOP` have same base `PO` and `Q` is a point on side `MN` of the parallelogram.
`:. ar(MNOP) = 2**ar(DeltaPOQ)`
`=> ar (Delta POQ) = 24/2 = 12cm^2`
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