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      Question

      Sides of a parallelogram are in the ratio 6:5. Its area

      is 2700 sq. units. Altitude on the greater side is 30 units. Altitude on the smaller side is: 
      A 30 units Correct Answer Incorrect Answer
      B 50 units Correct Answer Incorrect Answer
      C 16 units Correct Answer Incorrect Answer
      D 36 units Correct Answer Incorrect Answer

      Solution

      Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 6x and 5x. Base × Height = Area of parallelogram ⇒ 6x × 30 = 2700       ⇒ x = 2700/(30 x 6) = 15 ⇒ Sides = 90 and 75 units Therefore, 75 x h = 2700 ⇒ h = 2700/75 = 36 units

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