Question : If each side of a rectangle is decreased by 11%, then its area will decrease by:
Option 1: 25%
Option 2: 21.13%
Option 3: 24.31%
Option 4: 20.79%
Correct Answer: 20.79%
Solution :
Let the original length = 100, original breadth = 100
We know the area of a rectangle = Length × Breadth
So, original Area = 100 × 100 = 10000
Reduced length = 89, reduced breadth = 89
So, new area = 89 × 89 = 7921
Decrease in area = 10000 – 7921 = 2079
$\therefore$ Percentage decrease in area $=\frac{2079}{10000}×100 = 20.79\%$
Hence, the correct answer is 20.79%.
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