Question:

If the ratio of the areas of two squares is 25 : 36, then the ratio of their perimeters is

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For squares, ratio of perimeters = ratio of sides = square root of ratio of areas.
Updated On: Aug 11, 2025
  • 5 : 6
  • 25 : 36
  • 6 : 5
  • 36 : 25
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The Correct Option is A

Solution and Explanation

The ratio of the areas of two squares is equal to the square of the ratio of their sides.
If the ratio of the areas is \( 25 : 36 \), then the ratio of their sides is \(\sqrt{25} : \sqrt{36} = 5 : 6\).
Since the perimeter of a square is directly proportional to its side length, the ratio of the perimeters will also be \( 5 : 6 \).
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