A) 17 cm
B) 26 cm
C) 30 cm
D) 34 cm
Correct Answer: D
Solution :
Let the side of square be x cm \[\therefore \] Length of rectangle \[=(x+5)\,\,\text{cm}\] Breadth of rectangle \[=(x-3)\,\,\text{cm}\] As given, \[(x+5)(x-3)={{x}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+5x-3x-15={{x}^{2}}\] \[\Rightarrow \] \[2x=15\] \[\therefore \] Perimeter of rectangle \[=2\,\,(x+5+x-3)=2\,\,(2x+2)\] \[=2\,\,(15+2)=34\,\,\text{cm}\]You need to login to perform this action.
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