SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (I)

  • question_answer
    A lawn is in the form of a rectangle having its breadth and length in the ratio 3 : 4. The area of the lawn is \[\frac{1}{12}\]hectare. The 12 breadth of the lawn is

    A) 25 m

    B) 50 m

    C) 75 m

    D) 100 m

    Correct Answer: A

    Solution :

    [a] Let the length and breadth of the field be 4 x m and 3xm respectively. Area of field \[=\frac{1}{12}\] hectare \[3x\times 4x=\frac{1}{12}\times 10000\,sq\,m\] \[\Rightarrow \]   \[{{x}^{2}}=\frac{10000}{144}sq\,m\] \[\Rightarrow \]   \[x=\frac{100}{12}\,m\] \[\therefore \]Breadth of field \[=3x\] \[=3\times \frac{100}{12}=25\,m\]


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