A) \[2/\sqrt{5}\]
B) \[4/\sqrt{5}\]
C) \[2\sqrt{5}\]
D) \[4\sqrt{5}\]
Correct Answer: C
Solution :
Let the sides of rectangle be x and 2x, respectively. \[\therefore \,\,\,\,\] \[\,2(x+2x)=24\] \[\Rightarrow \] \[3x=12\] \[\Rightarrow \] \[\,x=4\] Length of diagonal\[=\sqrt{{{x}^{2}}+{{(2x)}^{2}}}=\sqrt{5{{x}^{2}}}\] \[=\sqrt{5\times 4}=2\sqrt{5}\]
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