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, \[=\frac{x}{2x+2y}=\frac{5}{16}\] \[\Rightarrow \] \[\frac{x}{x+y}=\frac{5}{8}\Rightarrow \frac{x+y}{x}=\frac{5}{8}\] \[\Rightarrow \] \[\frac{x}{x}+\frac{y}{x}=\frac{8}{5}\Rightarrow \frac{y}{x}=\frac{8}{5}-1\] \[\Rightarrow \] \[\frac{y}{x}=\frac{3}{5}\Rightarrow x:y=5:3\]You need to login to perform this action.
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