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  1. The area of a trapezium is 1500 sq. m. If the parallel sides are in the ratio of 12: 18 and the distance between the parallel sides is 32 meters, what is the length of the smaller parallel side?

    2. A.
    3.3 meters
    B.
    4.5 meters
    C.
    5.3 meters
    D.
    6.5 meters

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    Answer : Option A

    Explanation :

    Trapezium is a quadrilateral with one pair of parallel sides.

    Let the length of the smaller side = 12x

    Length of the bigger parallel side = 18x

    Distance between parallel sides = 32 meters

    Area of a trapezium = 1/2 * (sum of parallel sides) * distance between them.

    So, as per the question: 1500 = 1/2 (12x +18x) * 30

                                      1500 = 1/2 * 30x * 30

    1500 = 30x * 15

    30x = 1500 /15

    30x = 100

    x= 100 /30 = 3.3 meters

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