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      Question

      Sides of a parallelogram are in the ratio 7:5. Its area

      is 735 sq. units. Altitude on the greater side is 35 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 49 units Correct Answer Incorrect Answer

      Solution

      Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 7x and 5x. Base Γ— Height = Area of parallelogram β‡’ 7x Γ— 35 = 735Β  Β  Β Β  β‡’ x = 735/(35 x 7) = 3 β‡’ Sides = 21 and 15 units Therefore, 15 x h = 735 β‡’ h = 735/15 = 49 units

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