Multiple choice

The length of a rectangular sports field is increased by 20% and its width is decreased by 10%. Find the net percent-age change in the total area of the field.

  1. 10% Increase

  2. 8% Increase

  3. 5% Decrease

  4. 12% Increase

  5. No change
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let length = L and width = W. New area = (1.20L) * (0.90W) = 1.08 * LW. The change is 1.08 - 1 = 0.08, which is an 8% increase.

AI explanation

Using the net percentage change formula for area, x + y + (xy/100), we substitute an increase of 20 for x and a decrease of -10 for y. This gives 20 - 10 + (20 * -10 / 100), which simplifies to 10 - 2. The result is an 8% Increase.

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