SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (I)

  • question_answer
    A square is of area 200 sq m. A new square is formed in such a way that its side is equal to the length of the diagonal of the given square. Then,  he area of the new square formed is

    A) \[200\sqrt{2}\text{ }sq\text{ }m\]

    B) \[400\sqrt{2\,}\,sq\,m\]

    C) \[400\,\,sq\,m\]

    D) \[800\,\,sq\,m\]

    Correct Answer: C

    Solution :

    [c] Side of given square \[=\sqrt{200}\,m\] \[=10\sqrt{2\,}\,m\] It's diagonal \[=10\sqrt{2}\times \sqrt{2}=20\,\,m\] which is the side of new square \[\therefore \]Area of new square \[={{(20)}^{2}}=400\,sq\,m\]


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