A) \[52\text{ }cm\]
B) \[56\text{ }cm\]
C) \[60\text{ }cm\]
D) \[64\text{ }cm\]
Correct Answer: A
Solution :
Let \[l=4x\] and \[b=9x\] Area of the rectangle \[=l\times b\] \[144=4x\times 9x\] \[\Rightarrow \,\,\,{{x}^{2}}=\frac{144}{36}\Rightarrow \,\,{{x}^{2}}=4\] \[\therefore \,\,\,\,x=2\] Now, \[l=4\times 2=8\text{ }cm\] and \[b=9\times 2=18\text{ }cm\] Now, perimeter of rectangle \[=2\,(l+b)=2(8+18)\] \[=2\times 26=\]
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