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A 2 m-wide pathway is to be constructed all around on the inside of a rectangular plot whose area is 96 m². If the rate of construction is Rs. 50 per m², what is the total cost?
  1. Rs. 2 800
  2. Rs. 3 200
  3. Rs. 3 600
  4. None of these
Explanation

  • Outer dimensions: 16 m by 6 m → area = 96 m²

  • Inner rectangle (after 2 m margin on each side):

    • Length = 16 − 2 − 2 = 12 m

    • Breadth = 6 − 2 − 2 = 2 m

    • Inner area = 12 × 2 = 24 m²

  • Area of pathway: 96 − 24 = 72 m²

  • Cost: 72 m² × Rs. 50/m² = Rs. 3 600

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