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PQRS is a quadrilateral in which diagonal QS = 48cm . PM and RN are perpendiculars to QS , such that PM and RN measure 14.7 cm and 17.3 cm respectively .
see figure,
area of quadrilateral PQRS = area of ∆PQS + ∆RQS
= 1/2 × base , QS × altitude, PM + 1/2 × base, QS × altitude , RN
= 1/2 × 48 × 14.7 + 1/2 × 48 × 17.3
= 1/2 × 48( 14.7 + 17.3)
= 24 × 32
= 768 cm²
hence, area of quadrilateral PQRS = 768 cm²
Step-by-step explanation:
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