A) 30 m, 20 m
B) 40 m, 30 m
C) 50 m, 40 m
D) 100 m, 90 m
E) None of these
Correct Answer: A
Solution :
Explanation Let the length be x and breadth be y, then according to question \[2\left( x+y \right)=100\] \[\Rightarrow \,\,\,x+y=50\] \[\Rightarrow \,\,\,\operatorname{y} = 50 - x\] \[\left( x\,-\,\,2 \right)\left( 53\,\,-\,\,x \right)=x\left( 50\,\,-\,\,x \right)+44\] \[\Rightarrow \,\,\,\,-{{X}^{2}}+ 53x + 2x -106 = 50x - {{X}^{2}}+ 44\] \[\Rightarrow \,\,\,5x=106+44\, \Rightarrow \,\,5x=150 \,\Rightarrow \,\,x=30m\] \[\Rightarrow \,\,\,\,y=50-x=20\,\,m.\]
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