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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 5 cm and the breadth is less than the length of the side of the square by 3 cm. The perimeter of the rectangle is

    A)          17 cm

    B)  26 cm

    C)  30 cm

    D)  34 cm

    Correct Answer: D

    Solution :

    Let the side of square be x cm \[\therefore \]      Length of rectangle \[=(x+5)\,\,\text{cm}\] Breadth of rectangle \[=(x-3)\,\,\text{cm}\] As given,           \[(x+5)(x-3)={{x}^{2}}\] \[\Rightarrow \]   \[{{x}^{2}}+5x-3x-15={{x}^{2}}\] \[\Rightarrow \]               \[2x=15\] \[\therefore \] Perimeter of rectangle \[=2\,\,(x+5+x-3)=2\,\,(2x+2)\] \[=2\,\,(15+2)=34\,\,\text{cm}\]


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