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

  • question_answer
    The length of a rectangle is equal to the 3/4th of the circumference of a circle. The width of this rectangle is 2/3rd of the radius of the circle. The circumference of the circle is 264 cm. The area of rectangle is

    A) \[4654\text{ }c{{m}^{2}}\]

    B) \[4488\text{ }c{{m}^{2}}\]

    C) \[5654\text{ }c{{m}^{2}}\]

    D) None of the above

    Correct Answer: D

    Solution :

    [d] Let r be the radius of circle. \[\therefore \]      \[2\pi r=264\]\[\Rightarrow \]\[r=42\,cm\] \[\Rightarrow \]Length of rectangle \[=\frac{3}{4}\times 2\pi r=\frac{3}{4}\times 264=198\,cm\] and breadth of rectangle \[=\frac{2}{3}\times \,r=\frac{2}{3}\times 42=28\,cm\] Hence, area of rectangle = Length \[\times \]Breadth \[=198\times 28=5544\,c{{m}^{2}}\]


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