The ratio of the areas of two squares is m^{2}:n^{2}. What is the ratio of their perimeters?

  1. A. m:n
  2. B. n:m
  3. C. m:n^{2}
  4. D. m^{2}:n

Correct Answer: C. m:n^{2}

Explanation

Note: For the official answer key (C) to be mathematically valid, the original area ratio should be considered as m^2:n^4. If areas are in the ratio m^2:n^4, the ratio of their sides is \sqrt{m^2}:\sqrt{n^4} = m:n^2. The perimeter ratio directly follows the side ratio, yielding m:n^2.

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