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      Question

      Sides of a parallelogram are in the ratio 5:2. Its area

      is 1000 sq. units. Altitude on the greater side is 10 units. Altitude on the smaller side is:
      A 25 units Correct Answer Incorrect Answer
      B 64 units Correct Answer Incorrect Answer
      C 49 units Correct Answer Incorrect Answer
      D 50 units Correct Answer Incorrect Answer
      E 16 units Correct Answer Incorrect Answer

      Solution

      Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 5x and 2x. Base × Height = Area of parallelogram ⇒ 5x × 10 = 1000 ⇒ x = 1000/(10 x 5) = 20 ⇒ Sides = 100 and 40 units Therefore, 40 x h = 1000 ⇒ h = 1000/40 = 25 units

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