Parallelogram has both diagonals and drawn

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

Parallelogram PQRSPQRS has both diagonals PRPR and QSQS drawn, intersecting at OO. If ar(△POR)=15 cm2\text{ar}(\triangle POR)=15\,\text{cm}^2, determine: (i) ar(△QOS)\text{ar}(\triangle QOS) (ii) ar(PQRS)\text{ar}(PQRS).

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