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  3. 8th Class
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  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear Equations in one Variable

  • question_answer
    If the length and breadth of a room are increased by 1 m each, its area is increased by 21 m2. If the length is increased by 1 m and breadth decreased by 1 m, the area is decreased by 5m2. Find the area of the room.

    A)  96 \[{{m}^{2}}\]  

    B)  108 \[{{m}^{2}}\]         

    C)  90 \[{{m}^{2}}\]                   

    D)  60 \[{{m}^{2}}\]

    Correct Answer: A

    Solution :

    (a): (length +1) (breadth +1) = A + 2 length \[\left( 1+1 \right)\left( b-1 \right)=A-5\] \[1b+1+b+1=A+21\]         ....(I) \[1b-1+b-1=A-5\]          .....(II)   \[(I)-(II)\] \[\Rightarrow 21+2=26\] \[\Rightarrow lenth=12\]


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