SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-9

  • question_answer
    The area of a trapezium is\[480\,c{{m}^{2}}\]. If the difference between its parallel sides is 12 cm and the distance between them is 16 cm, then the parallel sides are:

    A) 12 cm and 24 cm

    B) 16 cm and 28 cm

    C) 20 cm and 32 cm

    D) 24 cm and 36 cm

    Correct Answer: D

    Solution :

    Let the parallel sides of the trapezium be \[x,x+12cm.\] Then, Area of trapezium =     \[\frac{1}{2}\times \] [Sum of parallel sides] \[\times \] distance between them \[480=\frac{1}{2}(x+x+12)\,\,\times 16\] \[60=2x+12=x=\frac{60-12}{2}=\] 24 and \[x+12=24+12=36\] \[\therefore \]    parallel sides are 24 cm and 36 cm.


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