Multiple choice general knowledge math & puzzles

If the side of a square is increased by 3 cm., the area increases by 33 cm. The side of the square is

  1. 5.5

  2. 6

  3. 2

  4. 4

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the side be s. The new area is (s+3)^2 and the old area is s^2. (s+3)^2 - s^2 = 33. Expanding gives s^2 + 6s + 9 - s^2 = 33, so 6s = 24, and s = 4. Distractors like 6 or 2 result in different area increases.