Question : The length and breadth of a rectangle are doubled. Percentage increase in area is:
Option 1: 150%
Option 2: 200%
Option 3: 300%
Option 4: 400%
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Correct Answer: 300%
Solution :
Let the length of the rectangle be $x$ and breadth be $y$.
So, area = $xy$
The length and breadth of a rectangle are doubled.
So, length and breadth become $2x$ and $2y$ respectively.
The area becomes, $2x×2y=4xy$
The percentage increase $=\frac{4xy-xy}{xy}×100=300$%
Hence, the correct answer is 300%.
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