In parallelogram

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram ABCDABCD, diagonal ACAC is drawn. A point PP on ACAC satisfies AP:PC=2:1AP:PC=2:1. Segments PBPB and PDPD are joined. If area(△APB)=36 cm2\text{area}(\triangle APB)=36\,\text{cm}^2, what is the area of quadrilateral BCPDBCPD? (a) 72 cm272\,\text{cm}^2 (b) 18 cm218\,\text{cm}^2 (c) 36 cm236\,\text{cm}^2 (d) 54 cm254\,\text{cm}^2

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