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a 104 square ft room and a 130 square ft room share a wall. what is the greatest possible integer length of the shared wall

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taichi0099
Since the area of a room is its length times its width, you'll need to find a common width, which will be the greatest common factor. The greatest common factor of 130 and 140 is 10. So the shared wall can at most be 10 ft. long.