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Step-by-step explanation:
Since Triangle POQ is a right angled triangle at O.
Using Pythagoras theorem,
we have
(PO)^2 + (OQ)^2 = (PQ)^2
(8)^2 + (OQ)^2 = (17)^2
(OQ)^2 = 225
OQ = 15 cm
Therefore,
QS = 30 cm
Now,
Area of rhombus PQRS
= (1/2) × (QS) × (PR)
= (1/2) × 30 × 16
= 240 sq cm
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