# A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1m2 of the field, find the total cost of ploughing the field. PQ = 90m

RS = 30m

QR = 100m

PQ = PT + TQ = 90m

30 + TQ = 90

TQ = 60

In ΔTRQ,

QR2 = TR2 + QT2

1002 = TR2 + 602

TR2 = 10000-3600

TR2 = 6400

TR = 80m

Area (PQRS) = Area(PQRS) = Area(PQRS) = 60 × 80 = 4800 m2

Cost of ploughing = Area(PQRS) × Cost per m2

Cost of ploughing = 4800 × 4 = Rs. 19200.

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