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      Question

      Length and breadth of a rectangle are in the ratio 2:5.

      If the perimeter of the rectangle is 36 cm more than the length of the rectangle, then find the area (in cm2) of the rectangle.
      A 100 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 160 Correct Answer Incorrect Answer
      D 130 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be '2x' cm and '5x' cm, respectively. ATQ; 2 × (2x + 5x) = 36 + 5x Or, 14x = 36 + 5x Or, 9x = 36 So, x = 4 So, required area = 2x × 5x = 10 × 42 = 160 cm2

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