# MNOP is a parallelogram . Q and R are point on sides MN and ON respectively . if ar(PRM) =12 cmsquare , find ar(POQ)

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by Annavlathika

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by Annavlathika

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since parallelogram MNO and triangle PRM are on the same base PM and between same parallels PM and ON

∴ ar (ΔPRM) =1/2 ar(║MNOP) ......(1)

similarly ║MNOP and triangle PQO are on the same base PO and between same parallels PO and MN

∴ ar (ΔPQO ) = 1/2ar(║MNOP)........(2)

from equation 1st and 2nd

ar (ΔPQO) =ar(Δ PRM)

ar(ΔPQO) = 12 cm² (∵ ar(ΔPRM) = 12 cm ²)