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To find the ratio of the areas of two similar rectangles, you need to square the ratio of their corresponding side lengths.
In this case, the ratio of the side lengths is 4:3. To find the ratio of the areas, you square this ratio: (4/3)^2.
Squaring the ratio (4/3)^2 gives you 16/9. Therefore, the ratio of the areas of the two similar rectangles is 16:9.