Question : The length and breadth of a rectangle are increased by 10% and 20%, respectively. What will be the percentage increase in the area of the rectangle?
Option 1: 30%
Option 2: 32%
Option 3: 28%
Option 4: 33%
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Correct Answer: 32%
Solution :
The area of a rectangle = length × breadth
Let the original length and breadth be 100 units each.
So, the original area of the rectangle = 100 × 100 = 10000 sq. units
Now, the new length is 110 units and the new breadth is 120 units.
So, the new area of the rectangle = 110 × 120 = 13200 sq. units
Therefore, the required percentage increase = $\frac{13200-10000}{10000}×100$
= $\frac{3200}{10000}×100$
= 32%
Hence, the correct answer is 32%.
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