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.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 = 1134 Or, x2 = 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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