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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-5

  • question_answer
    If the length and the perimeter of a rectangle are in the ratio\[5:16\], then Its length and breadth will be In the ratio

    A) \[5:11\]             

    B) \[5:8\]

    C) \[5:4\]               

    D)        \[5:3\]  

    Correct Answer: D

    Solution :

     Let the length of the rectangle be \[x\] units and breadth be \[y\] units. \[\therefore \]Perimeter of rectangle \[=2(x+y)cm\] According to the question,             \[=\frac{x}{2x+2y}=\frac{5}{16}\] \[\Rightarrow \]   \[\frac{x}{x+y}=\frac{5}{8}\Rightarrow \frac{x+y}{x}=\frac{5}{8}\] \[\Rightarrow \]   \[\frac{x}{x}+\frac{y}{x}=\frac{8}{5}\Rightarrow \frac{y}{x}=\frac{8}{5}-1\] \[\Rightarrow \]   \[\frac{y}{x}=\frac{3}{5}\Rightarrow x:y=5:3\]


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