MNOP is a parallelogram. Q and R are point on sides MN and ON respecti – InterviewSolution

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1.	MNOP is a parallelogram. Q and R are point on sides MN and ON respectively. `(trianglePRM)=12cm^2`, find `ar(trianglePOQ)`
Answer» `Delta PRM` and parallelogram `MNOP` have same base and `R` is a point on side `ON` of the parallelogram. `:. ar(MNOP) = 2ar(PRM) = 212 = 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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