Multiple choice general knowledge math & puzzles

If the ratio of the areas of 2 squares is 2:1, then what is the ratio of the perimeters of the squares?

  1. 2:1

  2. 1:sqrt(2)

  3. 1:2

  4. sqrt(2):1

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

If the areas of two squares are in ratio 2:1, then their side lengths are in ratio √2:1 (since area scales as side²). Perimeter scales linearly with side length (perimeter = 4 × side), so the perimeter ratio is also √2:1. Option A incorrectly assumes perimeter scales with area. Option B inverts the correct ratio. Option C incorrectly uses the area ratio.