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      Question

      When the ratio of the length and breadth of the

      rectangle is given as 3:2. If the perimeter of the rectangle is equal to the perimeter of the square, whose area is given as 2025 square cm, Find twice the length of the rectangle?
      A 108cm Correct Answer Incorrect Answer
      B 118cm Correct Answer Incorrect Answer
      C 128cm Correct Answer Incorrect Answer
      D 138cm Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ,we can say that Let the length and breadth of the rectangle be taken as = 3x and 2x Then, the Area of square will be = 2025 then, the Side of square is = 45  Perimeter of square= 4 × 45 = 180  Perimeter of rectangle= 2(3x + 2x) = 180 x = 18  So,the length of the rectangle is = 18 x 3 = 54  Hence, the twice length of the rectangle will be = 54 × 2 = 108cm

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