Multiple choice

Find the percentage increase or decrease in its area if the length of a rectangle is increased by 20% and its breadth is decreased by 40%.

  1. 60% decrease

  2. 28% increase

  3. 20% increase

  4. 28% decrease

  5. 40% decrease
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D Correct answer
Explanation

Let length = 10, breadth = 10, area = 100. New length = 12, new breadth = 6. New area = 72. Decrease = 100 - 72 = 28%.

AI explanation

Using the successive percentage change formula for area, the new length multiplier is 1.20 and the new breadth multiplier is 0.60. Multiplying these dimensions gives the net area multiplier: 1.20 times 0.60 equals 0.72. This means the new area is 72% of the original area, resulting in a 28% decrease. The result is 28% decrease.

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