A) 17 cm
B) 26 cm
C) 30 cm
D) 34 cm
Correct Answer: D
Solution :
Let the side of a square \[=a\,cm\] Length of rectangle \[=(a+5)\,cm\] And breadth of rectangle \[=(a-3)\,cm\] \[\therefore \] \[{{a}^{2}}=(a+5)(a-3)\] \[\Rightarrow \] \[{{a}^{2}}={{a}^{2}}+5a-3a-15\] \[\Rightarrow \] \[2a=15\] \[\Rightarrow \] \[a=7.5\] \[\therefore \] Length of rectangle \[=(7.5+5)=12.5\,cm\] And breadth of rectangle \[=7.5-3=4.5\] \[\therefore \] Perimeter of rectangle \[=2(12.5+4.5)=34\,cm\]You need to login to perform this action.
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