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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The perimeter of a rectangular plot is 48 m and its area is 108 m2. The dimensions of the plot are

    A)  12 and 9             

    B)  18 and 6  

    C)  27 and 4        

    D)         36 and 3

    Correct Answer: B

    Solution :

     Let the number is\[10x+y\] By hypothesis\[x+y=11\]                                              ? (i) and        \[(10x+y)-(10y+x)=45\] or            \[9(x-y)=45\] or            \[x-y=5\]                                             ? (ii) Solving equations (i) and (ii), we get                 \[x=8,\,\,y=3\] Hence, required number\[=8\times 10+3=83\]


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