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Assuming the squares are to remain whole, the question is equivalent to finding two factors of 5467.

5467 = 7*11*71

Now, since a quilt is not likely to be 7 inches or 11 inches in length or width, it must me 7*11 = 77 inches and the other dimension must be 71 inches. The larger of these being the length, the quilt is 77" * 71"

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Q: What is the length and width of a rectangular quilt that has 5467 one inch squares?
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