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      Question

      Length and breadth of a rectangle are in the ratio 5:4.

      If the perimeter of the rectangle is 52 cm more than the length of the rectangle, then find the area (in cm2) of the rectangle.
      A 300 Correct Answer Incorrect Answer
      B 310 Correct Answer Incorrect Answer
      C 320 Correct Answer Incorrect Answer
      D 220 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be '5x' cm and '4x' cm, respectively. ATQ; 2 × (4x + 5x) = 52 + 5x Or, 18x = 52 + 5x Or, 13x = 52 So, x = 4 So, required area = 4x × 5x = 20 × 42 = 320 cm2

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