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    Question

    Consider a parallelogram where the ratio between the

    height and the base is 14:9. Given that the area of this parallelogram is 1134 square centimeters, calculate the numerical difference between its height and its base.
    A 15 cm Correct Answer Incorrect Answer
    B 21 cm Correct Answer Incorrect Answer
    C 42 cm Correct Answer Incorrect Answer
    D 27 cm Correct Answer Incorrect Answer

    Solution

    Let's assume the height and base of the parallelogram is '14x' cm and '9x' cm, respectively. ATQ; 14x X 9x = 1134 Or, 126x2┬а= 1134 Or, x2┬а= 9 Or, x = 3 (since, length cannot be negative therefore, we will take the positive root only) Required difference = 14x - 9x = 5x = 5 X 3 = 15 cm Hence, option a.

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