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    Question

    Sides of a parallelogram are in the ratio 7:4. Its area

    is 1176 sq. units. Altitude on the greater side is 28 units. Altitude on the smaller side is:
    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
    E 16 units Correct Answer Incorrect Answer

    Solution

    Using formula, Area of parallelogram = l x h Let the sides of parallelogram be 7x and 4x. Base × Height = Area of parallelogram ⇒ 7x × 28 = 1176 ⇒ x = 1176/(28 x 7) = 6 ⇒ Sides = 42 and 24 units Therefore, 24 x h = 1176 ⇒ h = 1176/24 = 49 units

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