Multiple choice

Length of a rectangle is increased by 20% and breadth is increased by 25%. Find the percentage change in the area of the rectangle.

  1. 45%

  2. 50%

  3. 40%

  4. 60%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original length be L and breadth be B. New area = (1.20L) * (1.25B) = 1.50LB. This represents a 50 percent increase.

AI explanation

To find the percentage change in area when the sides change by different percentages, apply the successive percentage change formula, which is the sum of the individual changes plus their product divided by 100. The working is 20 plus 25 plus the product of 20 and 25 divided by 100, which simplifies to 45 plus 5. The area increases by 50 percent.

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