Discussion
If the side of a square is increased by 20%, what will be the percentage increase in the area of the square?
Answer: C
Let the side be 100. After a 20 per cent increase it is 120, and the area changes from 10000 to 14400.
\[ \frac{14400 - 10000}{10000} = 0.44 \]
The area increases by 44 per cent. The tempting answer is 40 per cent, which is only the sum of the two 20 per cent increases without the 4 per cent for their product, and 20 and 22 per cent do not match.
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