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      Question

      Sides of a parallelogram are in the ratio 4:3. Its area

      is 432 sq. units. Altitude on the greater side is 12 units. Altitude on the smaller side is:Β 
      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 4x and 3x. Base Γ— Height = Area of parallelogram β‡’ 4x Γ— 12 = 432Β  Β  Β Β  β‡’ x = 432/(12 x 4) = 9 β‡’ Sides = 36 and 27 units Therefore, 27 x h = 432 β‡’ h = 432/27 = 16 units

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