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SSC Sample Paper SSC CGL - Sample Paper-3

  • question_answer
    The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq cm)?

    A)  2a                               

    B)  \[\frac{a}{\sqrt{2}}\]

    C)  \[{{a}^{2}}/2\]          

    D)  \[{{a}^{2}}/4\]

    Correct Answer: C

    Solution :

    \[\text{Side}=\frac{\text{Diagonal}}{\sqrt{2}}=\frac{a}{\sqrt{2}}\] \[\therefore \]      \[\text{Area=(Side}{{\text{)}}^{\text{2}}}\]             \[={{\left( \frac{a}{\sqrt{2}} \right)}^{2}}\,sq\,cm\]             \[=\frac{{{a}^{2}}}{2}\,sq\,cm\]         


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