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      Question

      The perimeter of a rectangle is 48 cm, and the ratio of

      its length to breadth is 3:5. What is the area of the rectangle?
      A 108 cm² Correct Answer Incorrect Answer
      B 135 cm² Correct Answer Incorrect Answer
      C 150 cm² Correct Answer Incorrect Answer
      D 180 cm² Correct Answer Incorrect Answer

      Solution

      Let the length of the rectangle be 3x and the breadth be 5x. The perimeter of the rectangle is given by: 2 × (length + breadth) = 48 → 2 × (3x + 5x) = 48 → 16x = 48 → x = 3. So, the length is 3 × 3 = 9 cm and the breadth is 5 × 3 = 15 cm. The area of the rectangle is: Area = length × breadth = 9 × 15 = 135 cm². Correct answer: b. 135 cm²

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