if the ratio of areas two squares is 9 1 their..., Area, General Mathematics

Question:If the ratio of the areas of two squares is 9 : 1, the ratio of their perimeters is :

A `9 : 1` 
B `3 : 1` 
C `1 : 3` 
D `3 : 4`

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+ AnswerB

+ ExplanationLet the sides of two squares be a and b respectively.

Then, `a^2/b^2 = 9/1`

     or `(a/b)^2`

       `= (3/1)^2` or `a/b = 3/1`

  :. Ratio of their perimeters

  `= (4a)/(4b) = a/b = 3/1`

 or ` 3 : 1`

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