SOLUTION: The dimensions of a rectangular room are 12 feet 10 inches by 10 feet 1 inch. If square tiles of the same size are to cover the floor completely without any overlapping and if onl
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Question 738199: The dimensions of a rectangular room are 12 feet 10 inches by 10 feet 1 inch. If square tiles of the same size are to cover the floor completely without any overlapping and if only whole tiles will be used, what is the largest possible length for a side of the tile? Answer by josgarithmetic(39617) (Show Source):
Representing the room with a rectangle, 154 units from left to right, and 121 units from up to down, we can split this rectangle into a square 121 by 121 and a smaller rectangle 33 by 121.
To fit the 121 by 121 square with square tiles, the size can well be 11 inch square tile. You could fit 11 of these tiles on width and 11 of these tiles on length. Note that .
The same size tile of 11 by 11 inch*inch would continue in the 33 inch by 121 inch rectangular region adjacent to the 121 by 121.
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