The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What happens to its area?
A. It decreases by 4%
B. It does not change
C. It increases by 4%
D. It decreases by 2%
A. It decreases by 4%
B. It does not change
C. It increases by 4%
D. It decreases by 2%
Best answer
Answer: A. It decreases by 4%
Answer: (A) It decreases by 4%
Shortcut (successive change): \(a + b + \frac{ab}{100} = 20 - 20 + \frac{20 \times (-20)}{100} = -4\%\).
Plain: area factor = 1.2 × 0.8 = 0.96, so the area falls by 4%. Equal % up and down always gives a net decrease.
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