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      Question

      In a rectangle, the ratio of length and breadth is 3:2

      and its perimeter is 240 cm, then what the area of the rectangle?
      A 1440 sq.cm Correct Answer Incorrect Answer
      B 1728 sq.cm Correct Answer Incorrect Answer
      C 2688 sq.cm Correct Answer Incorrect Answer
      D 2880 sq.cm Correct Answer Incorrect Answer
      E 3456 sq.cm Correct Answer Incorrect Answer

      Solution

      Let the length of the rectangle be 3x cm and its breadth is 2x cm. Then, Perimeter = 2(3x + 2x) ⇒ 240 = 10x ⇒ x = 24 Hence, the area of the rectangle = 3x × 2x = 6x2 = 6 × 242 = 3456 cm2.

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