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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:
    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 5x and 4x. Base × Height = Area of parallelogram ⇒ 5x × 20 = 1500 ⇒ x = 1500/(42 x 5) = 15 ⇒ Sides = 75 and 60 units Therefore, 60 x h = 1500 ⇒ h = 1500/60 = 25 units

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