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A field is shaped like a trapezium whose parallel sides are 25 m and 15 m, the perpendicular distance between them being 12 m. What is the cost of levelling the field at ₹18 per square metre?

Competition practiceMensuration
  • A₹8640
  • B₹4320
  • C₹1080
  • D₹6750

Step-by-Step Solution

Area = (1/2) (sum of the parallel sides) (distance between them) = sq m, so the cost = = ₹4320. The trap ₹8640 drops the 1/2; ₹1080 uses the DIFFERENCE 25 - 15 in place of the sum; ₹6750 multiplies the two parallel sides together, sq m, as though the field were a rectangle.
Answer: B) ₹4320

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