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Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.

10.4 feet by 7.4 feet

11.1 feet by 8.1 feet

13.4 feet by 10.4 feet

14.1 feet by 11.1 feet