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      Question

      The cost of fencing a rectangular garden at Rs. 10/metre

      is Rs. 1000. If the ratio of the length to breadth is 3:2, find the area of the garden.
      A 500 sq m Correct Answer Incorrect Answer
      B 550 sq m Correct Answer Incorrect Answer
      C 600 sq m Correct Answer Incorrect Answer
      D 650 sq m Correct Answer Incorrect Answer

      Solution

      Let the length and breadth be 3x metres and 2x metres respectively.
      According to the question,
      2 × (3x + 2x) = 1000 / 10
      Or, 2 × 5x = 100
      Or, 10x = 100
      Or, x = 10 metres
      Therefore, area = 3x × 2x = 6x² = 6 × 100 = 600 m²

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