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      Question

      The difference between the length and breadth of a

      rectangle is 23 m. If its perimeter is 174 m, then its area is
      A 2120 m² Correct Answer Incorrect Answer
      B 1666 m² Correct Answer Incorrect Answer
      C 2170 m² Correct Answer Incorrect Answer
      D 1760 m² Correct Answer Incorrect Answer

      Solution

      Using formula, Perimeter = 2(l + b)   Let the breadth be ‘x’ metre Length = (23 + x) metre ⇒ 2(x + 23 + x) = 174 ⇒ 4x = 174 – 46 ⇒ x = 128/4 = 32 metre Therefore, length = 32 + 23 = 55 metre Therefore, required area = 55 x 32 = 1760 m²

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