SOLUTION: A room measuring 11 and 2/3 meters by 7 and 7/8 meters is to be tiled with square tiles of maximum size so that the tiles fit the dimensions of the room exactly. How many tiles are
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Question 1149392: A room measuring 11 and 2/3 meters by 7 and 7/8 meters is to be tiled with square tiles of maximum size so that the tiles fit the dimensions of the room exactly. How many tiles are required? Answer by ikleyn(52781) (Show Source):
The dimensions of the room are m by m.
The GCD of and m is 24, so the square tile dimension should be m.
It will require 24*11 + = 24*11 + 16 = 280 tiles in one dimension
and 7*24 + = 7*24 + 21 = 189 tiles in other dimension.
In all, 280*189 = 52920 square tiles are needed.
