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: 
    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 × Height = Area of parallelogram ⇒ 7x × 35 = 735       ⇒ x = 735/(35 x 7) = 3 ⇒ Sides = 21 and 15 units Therefore, 15 x h = 735 ⇒ h = 735/15 = 49 units

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