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Question

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the field at the rate of Rs. 20 per square metre is Rs. 9,600; find its base and height.
  1. base= 12 cm and height = 20 cm
  2. base= 42 cm and height = 20 cm
  3. base= 16 cm and height = 20 cm
  4. base= 48 cm and height = 20 cm

A
base= 12 cm and height = 20 cm
B
base= 48 cm and height = 20 cm
C
base= 42 cm and height = 20 cm
D
base= 16 cm and height = 20 cm
Solution
Verified by Toppr

Since the cost of levelling the field at the rate of Rs. 20 per square metre is Rs. 9,600
=> Area of the field =960020=480sqm
Now, area of the triangular field =12×base×height=480
=>12×(2.4h)×(h)=480
=>h2=400
=>h=20m

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