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      Question

      The difference between the length and breadth of a

      rectangle is 25 m. If its perimeter is 206 m, then its area is
      A 2440 m² Correct Answer Incorrect Answer
      B 2480 m² Correct Answer Incorrect Answer
      C 2360 m² Correct Answer Incorrect Answer
      D 2496 m² Correct Answer Incorrect Answer

      Solution

      Using formula, Perimeter = 2(l + b)   Let the breadth be ‘x’ metre Length = (25 + x) metre ⇒ 2(x + 25 + x) = 206 ⇒ 4x = 206 – 50 ⇒ x = 156/4 = 39 metre Therefore, length = 39 + 25 = 64 metre Therefore, required area = 64 x 39 = 2496 m²

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