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Railways Quantitative Aptitude Mensuration Sample Paper Mensuration Sample Test Paper-16

  • question_answer
    The area of a square with side 9 cm is one sixth of the area of a rectangle, whose length is six-times its breadth. The perimeter of the rectangle is

    A)  104 cm

    B)  52 cm

    C)  78 cm 

    D)  126 cm

    Correct Answer: D

    Solution :

    [d] Area  of square\[=9\times 9=81\,c{{m}^{2}}\] Area of rectangle\[=81\times 6=486\,c{{m}^{2}}\] Let the length and breadth of rectangle be \['l'\] and ?b? \[\therefore \] \[l\times b=486\]                             ? (1) Also \[l=6b\]                              ? (2) \[6\,\,b\times b=486\] \[{{b}^{2}}=\frac{486}{6}=81\] \[\Rightarrow \] \[b=9\,cm\] \[\therefore \] \[l=6b=54\,cm\] Perimeter\[=2(l+b)=2(54+9)=2\times 63\] Perimeter = 126 cm


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