If the ratio of areas of two squares is 225 : 256, then the ratio of their perimeters is : Options: A . &nbsp225 : 256 B . &nbsp256 : 225 C . &nbsp15 : 16 D . &nbsp16 : 15

If the ratio of areas

Question

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

Options:

A . 225 : 256

B . 256 : 225

C . 15 : 16

D . 16 : 15

Answer: Option C

`a^2 / b^2` = `225/256`= =`(15)^2/(16)^2`

`hArr a/b = 15/16`

`hArr (4a)/(4b) = (4 xx 15)/(4 xx 16) = 15/16`

`:.` Ratio of perimeters = 15 : 16.

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