Multiple choice

If the length and width of a rectangular garden were each increased by 20 percent, what would be the percentage increase in the area of the plot?

  1. 20%

  2. 24%

  3. 36%

  4. 44%

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original length be L and width be W. Area = LW. New length = 1.2L, new width = 1.2W. New area = 1.2L * 1.2W = 1.44LW. Increase = 1.44 - 1 = 0.44, or 44%.

AI explanation

Using the successive percentage change formula, a + b + (ab / 100), the total percentage increase in area is calculated by substituting 20 for both a and b. This gives 20 + 20 + (400 / 100), which equals 40 + 4. The percentage increase in the area of the plot is 44%. The result is 44%.

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