Q. 44.3( 8 Votes )

# Compute the area

Answer :

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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