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    Question

    The parallel sides of a trapezium and its height are in

    an arithmetic progression with a common difference of 4. If the height is the highest term and the area of the trapezium is 160 sq. units, find the ratio of the length of the greatest parallel side to that of the smallest parallel side.
    A 5:1 Correct Answer Incorrect Answer
    B 1:5 Correct Answer Incorrect Answer
    C 2:3 Correct Answer Incorrect Answer
    D 3:2 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let sides be a+4 (parallel sides) and a+8 (height)

    Area = 

    Sides: 8 and 12 ⇒ Ratio = 12/8 = 3:2

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