Multiple choice

If the ratio of the areas of two squares is 225 : 256, then the ratio of their perimeters is

  1. 225 : 256

  2. 60 : 64

  3. 24 : 26

  4. 15 : 16

  5. -
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D Correct answer
Explanation

This is the correct answer. Let the side of square 1 be s1 and that of square 2 be s2. So, the ratio of their areas is (s1)2 : (s2)2 = 225 : 256 (s1)2 : (s2)2 = (15)2 : (16)2 So, s1 = 15, s2 = 16 So, the ratio is 15 : 16. The ratio of their perimeters is 4 x 15 : 4 x 16 = 60 : 64 = 15 : 16.

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