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      Question

      Length and breadth of a rectangle are in the ratio 7:9.

      If the perimeter of the rectangle is 46 cm more than the breadthΒ of the rectangle, then find the area (in cm2) of the rectangle.
      A 242 Correct Answer Incorrect Answer
      B 232 Correct Answer Incorrect Answer
      C 252 Correct Answer Incorrect Answer
      D 292 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be '7x' cm and '9x' cm, respectively. ATQ; 2 Γ— (7x + 9x) = 46 + 9x Or, 14x = 46 + 9x Or, 23x = 46 So, x = 2 So, required area = 7x Γ— 9x = 63 Γ— 22 = 252 cm2

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