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      Question

      The ratio of length to breadth of a rectangle is 5:4,

      respectively. Perimeter of rectangle is 288 cm. If each side of a square is 25% more than the breadth of rectangle, then find the difference between perimeters of the square and the rectangle.
      A 26 cm Correct Answer Incorrect Answer
      B 28 cm Correct Answer Incorrect Answer
      C 30 cm Correct Answer Incorrect Answer
      D 32 cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 5x cm and 4x cm, respectively According to the question, 2 Γ— (5x + 4x) = 288 Or, x = 144/9 = 16 Therefore, each side of the square = 1.25 Γ— 4x = 80 cm Perimeter of the square = 4 Γ— 80 = 320 cm Required difference = 320 – 288 = 32 cm

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