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      Question

      If the ratio of height and base of a parallelogram is

      8:5, respectively and its area is 640 cm2, then find the difference between height and base of the parallelogram.
      A 9 cm Correct Answer Incorrect Answer
      B 12 cm Correct Answer Incorrect Answer
      C 15 cm Correct Answer Incorrect Answer
      D 18 cm Correct Answer Incorrect Answer

      Solution

      Let's assume the height and base of the parallelogram is '8x' cm and '5x' cm, respectively.

      ATQ;

      8x X 5x = 640

      Or, 40x2 = 640

      Or, x2 = 16

      Or, x = 4 (since length cannot be negative therefore, we will take the positive root only)

      Required difference = 8x - 5x = 3x = 3 X 4 = 12 cm

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