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      Question

      The difference between the length and breadth of a

      rectangle is 13 m. If its perimeter is 186 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 = (13 + x) metre ⇒ 2(x + 13 + x) = 186 ⇒ 4x = 186 – 26 ⇒ x = 160/4 = 40 metre Therefore, length = 40 + 13 = 53 metre Therefore, required area = 53 x 40 = 2120 m²

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