Multiple choice

If the side of a square was increased by 40%, the percent increase in its area is

  1. 86%

  2. 100%

  3. 96%

  4. 150%

  5. 40%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If side s increases by 40%, the new side is 1.4s. The new area is (1.4s)^2 = 1.96s^2. The increase is 0.96 or 96%.

AI explanation

Applying the successive percentage change formula for area, the total percentage increase is calculated as a plus b plus the product of a and b divided by 100, where a and b are both 40. This gives 40 plus 40 plus 1600 divided by 100, which equals 80 plus 16. The final area increases by 96%.

Keep practicing — related questions