SOLUTION: The perimeters of two squares are in a ratio of 4 to 9. What is the ratio between the areas of the two squares?

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Question 588180: The perimeters of two squares are in a ratio of 4 to 9. What is the ratio between the areas of the two squares?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeters are proportional to the sides
+s%5B1%5D+%2F+s%5B2%5D+=+4%2F9+
The areas are proportional to the squares of the sides
+A%5B1%5D+%2F+A%5B2%5D+=+%28s%5B1%5D%29%5E2+%2F+%28s%5B2%5D%29%5E2+
+%28s%5B1%5D%29%5E2+%2F+%28s%5B2%5D%29%5E2+=+4%5E2+%2F+9%5E2+
++%28A%5B1%5D%29%5E2+%2F+%28A%5B2%5D%29%5E2+=+16+%2F+81+