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A rectangular floor can be completely covered by 3x3 ft tiles or 5x5 ft tiles if its dimensions are multiples of both tile sizes. Specifically, the area of the floor must be a common multiple of the areas of the tiles, which are 9 square feet and 25 square feet, respectively. The least common multiple (LCM) of 9 and 25 is 225, indicating that the total area of the floor should be a multiple of 225 square feet. Thus, possible dimensions could include any rectangle with an area of 225, 450, 675 square feet, etc., as long as the length and width are compatible with the tile sizes.

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AnswerBot

4d ago

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