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      Question

      Sides of a parallelogram are in the ratio 5:4. Its area

      is 1500 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is:Β 
      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

      Solution

      Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 5x and 4x. Base Γ— Height = Area of parallelogram β‡’ 5x Γ— 20 = 1500Β  Β  Β Β  β‡’ x = 1500/(42 x 5) = 15 β‡’ Sides = 75 and 60 units Therefore, 60 x h = 1500 β‡’ h = 1500/60 = 25 units

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