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8th Class Mathematics Factorisation Question Bank Factorisation

  • question_answer
    The area of a square is\[({{x}^{2}}+8x+16)c{{m}^{2}}\]. Find the length of its side.

    A)  \[(x-8)\,cm\]                                    

    B)  \[(x-4)\,cm\]    

    C)         \[(x+4)\,cm\]                   

    D)         \[(x+2)\,cm\]                                                   

    Correct Answer: C

    Solution :

    Area of a square is side x side. \[{{x}^{2}}+8x+16\,\,\,=({{x}^{2}})+2(x)\,\,(4)+{{(4)}^{2}}\]                                 \[={{(x+4)}^{2}}\]                                 \[=(x+4)\,\,(x+4)\] \[\therefore \]The length of the side of a square is \[(x+4)\,\,cm\].


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