Question

    The ratio of the sum of the

    parallel sides of a trapezium to its height is 4:5, and its area is 360 m². If the length of a rectangle is equal to the height of the trapezium, and the breadth of the rectangle is 15 m greater than the height of the trapezium, what is the area of the rectangle?
    A 1300 m² Correct Answer Incorrect Answer
    B 1150 m² Correct Answer Incorrect Answer
    C 1350 m² Correct Answer Incorrect Answer
    D 1652 m² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, let the sum of the parallel sides of a trapezium to its height can be '4a' and '5a' respectively. 1/2 × 4a × 5a = 360 a = 36 a = 6 Height of the trapezium = 5×6 = 30m Length of the rectangle = 30m Breadth of the rectangle = 15+30 = 45m Area of the rectangle = 30×45 = 1350m2

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