Multiple choice

The length and the breadth of a rectangle are increased by 12% and 10%, respectively. What is the consequent percentage increase in the area of the rectangle?

  1. 23.2%

  2. 22.1%

  3. 20.4%

  4. 20%
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A Correct answer
Explanation

Percentage increase = x + y + (xy/100) = 12 + 10 + (12 * 10 / 100) = 22 + 1.2 = 23.2%.

AI explanation

Using the successive percentage change formula for two variables, the net percentage change is the sum of the individual percentages plus their product divided by 100. Substituting the given values gives 12 plus 10 plus 120 divided by 100. Calculating this results in 22 plus 1.2, which equals a 23.2% increase in the area of the rectangle.

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