Multiple choice

Julie has a square fence that enclosed her garden. She decided to expand her garden by making each side of the fence $10$ percent longer. After this expansion, the area of julie's graden will have increased by what percent?

  1. $20%$
  2. $21%$
  3. $22%$
  4. $25%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the side be s. Area = s^2. New side = 1.1s. New area = (1.1s)^2 = 1.21s^2. The increase is 0.21s^2, which is 21%.

AI explanation

Let the initial side of the square fence be 100, so the initial area is 10000. After a 10 percent increase, the new side is 110 and the new area is 12100, making the increase in area 2100. The percentage increase is (2100 divided by 10000) multiplied by 100, which equals 21 percent.

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