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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: 
    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 × Height = Area of parallelogram ⇒ 4x × 12 = 432       ⇒ x = 432/(12 x 4) = 9 ⇒ Sides = 36 and 27 units Therefore, 27 x h = 432 ⇒ h = 432/27 = 16 units

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