Compute the area of trapezium PQRS in Fig. – InterviewSolution

1.

Compute the area of trapezium PQRS in Fig.

Answer»

We have,

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

Area of trapezium PQRS = PT x RT + (QT x RT) = 8 x RT + (8 x RT) = 12 x 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 x 15

= 180 cm²

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