Multiple choice

Jaxon bought a piece of land on which he wanted to build a swimming pool of a rectangular shape. The builder gave the measurements of the pool to Jaxon. After discussion, Jaxon decided to decrease the length of the pool by 20% and increase the width by 20%. What would be the percentage increase or decrease in the area of the rectangular swimming pool?

  1. 10%

  2. 8%

  3. 6%

  4. 4%

  5. 2%
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 = 0.8L, new width = 1.2W. New area = 0.8 * 1.2 * LW = 0.96LW. This is a 4% decrease.

AI explanation

Assume the initial length and width are both 10, giving an initial area of 100. The new length becomes 8 and the new width becomes 12, resulting in a new area of 96. The area decreases by 4, which is a 4% decrease from the original area.

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