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      Question

      Each side of square β€˜A’ is 8 cm less than that of

      square β€˜B’. The perimeter of a rectangle is 6 times the difference of the perimeters of the two square. If the length of the rectangle is 40 cm, then find its breadth.
      A 56 cm Correct Answer Incorrect Answer
      B 50 cm Correct Answer Incorrect Answer
      C 55 cm Correct Answer Incorrect Answer
      D 58 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let each side of the square β€˜A’ be β€˜a’ cm Therefore, each side of square β€˜B’ = (a + 8) cm Difference between their perimeters = 4(a + 8) – 4a = 32 cm Therefore, perimeter of the rectangle = 6 Γ— 32 = 192 cm Let the breadth of the rectangle be β€˜b’ cm According to the question, 2 Γ— (40 + b) = 96 Or, 40 + b = 96 Or, b = 56 cm

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