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

  • question_answer
    A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is

    A) 30 cm

    B) 60 cm

    C) 72 cm

    D) 132 cm

    Correct Answer: B

    Solution :

    [b] Length of wire = Circumference of the circle with                                                                              \[r=42\,cm\]                                               \[=\left( 2\times \frac{22}{7}\times 42 \right)=264\,cm\] Let the length of rectangle be 6xcm. Then, its breadth = 5xcm                                                                              \[\therefore\]                                                                         \[2\,(6x+5x)=264\]                                                                             \[\Rightarrow\]                                                                              \[11x=132\]                                                                             \[\Rightarrow\]                                                                             \[x=12\,cm\] Smaller side of rectangle                                                                     \[=(5\times 12)=60\,cm\]


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