SOLUTION: The ratio of the areas of two squares is 3 : 4. What is the ratio of the lengths of their corresponding diagonals?

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Question 238383: The ratio of the areas of two squares is 3 : 4. What is the ratio of the
lengths of their corresponding diagonals?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square of side s is
A=s%5E2
The diagonal of the square is
D=sqrt%282%29%2As
So area as a function of diagonal is
A=D%5E2%2F2
2A=D%5E2
The area is proportional to the square of the diagonals.
A1%2FA2=D1%5E2%2FD2%5E2
3%2F4=D1%5E2%2FD2%5E2
D1%2FD2=sqrt%283%29%2F2