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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    The area of a field in the shape of trapezium measures \[1400\,\,{{m}^{2}}.\] The perpendicular distance between its parallel side is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is

    A)  75 m   

    B)  45 m

    C)  120 m             

    D)  60 m

    Correct Answer: A

    Solution :

    Let the parallel sides be 5x and 3x m. Area of trapezium \[=\frac{1}{2}\] (sum of parallel sides) \[\times \]distance between them \[\Rightarrow \]   \[1440=\frac{1}{2}(5x+3x)\times 24\] \[\Rightarrow \]   \[12\times 8x=1440\] \[\Rightarrow \]   \[x=\frac{1440}{12\times 8}=15\] \[\therefore \] The longer parallel side \[=5x\times 5\times 15=75\,\,m\]        


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