A) 100
B) 90
C) 110
D) 80
E) 120
Correct Answer: A
Solution :
Let the side of square be x metre. \[\therefore \] Length of rectangle = (x + 8) metre Breadth \[=(x-\text{ }6)\]metre According to the question, \[(x+8)(x-6)={{x}^{2}}\] \[\Rightarrow \,{{x}^{2}}+8x-6x-48={{x}^{2}}\] \[\Rightarrow \,2x=48\Rightarrow x=24\] metre \[\therefore \]Perimeter of rectangle = 2 (length + breadth) \[=2\left( x:+8+x-6 \right)\] \[=2\left( 2x+2 \right)\] \[=4\text{ }\left( x+1 \right)=4\times 25=100\] metreYou need to login to perform this action.
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