8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions and Identities

  • question_answer
    The side of a square is \[17\text{ }cm\] and the side of another is\[983\text{ }cm\]. What is the difference of their areas in sq. cm?

    A)  \[900660\]                         

    B)  \[966000\]         

    C)  \[960600\]         

    D)         \[906600\]

    Correct Answer: B

    Solution :

    Area of bigger square \[={{983}^{2}}\text{ }sq.\text{ }cm\] Area of smaller square\[~={{17}^{2}}\text{ }sq.cm\] The difference of their areas                 \[={{983}^{2}}-{{17}^{2}}\text{ }sq.cm\]                 \[=(983+17)\,\,(983-17)\,sq.\,cm\]                 \[=966000\,\,sq.\,\,cm\]


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