Q4 of 25 Page 9

Compute the area of trapezium PQRS in Fig. given below.


We have,


Area of trapezium PQRS = Area of rectangle PSRT + Area (Δ QRT)


Area of trapezium PQRS = PT × RT + (QT × RT)


= 8 × RT + (8 × RT)


= (8 × RT) + (4× RT)


= 12 × RT


In Δ QRT, we have


QR2 = QT2 + RT2


RT2 = QR2 - QT2


RT2 = (17)2 - (8)2


= 225


= 15


Hence,


Area of trapezium PQRS = 12 * 15


= 180 cm2


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