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  3. 9th Class
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  5. Linear Equations in Two Variables

9th Class Mathematics Linear Equations in Two Variables Question Bank Linear Equations in Two Variables

  • question_answer
    The breadth of a rectangular room is \[2\,\,m\] less than its length\[(l)\]. If the perimeter of the room is\[14\,\,m\], find the length \[(l)\] and breadth \[(b)\] of the room.

    A)  \[l=2.5\,\,m,\,\,b=4.5\,\,m\]

    B)  \[l=3.5\,\,m,\,\,b=3.5\,\,m\]

    C)  \[l=4.5\,\,m,\,\,b=2.5\,\,m\]

    D)  \[l=2.5\,\,m,\,\,b=5.5\,\,m\]

    Correct Answer: C

    Solution :

    \[b=l-2\]                                                ?(i) \[2(l+b)=14\] \[\Rightarrow \]\[l+b=7\](or )\[b=7-l\]                                ?(ii) From (i) & (ii) \[l-2=7-l(Sinceb=l=-2)\] \[\Rightarrow \]\[l=4.5\,m\]and \[b=2.5\,m\]


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