SOLUTION: A room measuring 11 2/3 m by 7 7/8 m 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? A) 3

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Question 1170304: A room measuring 11 2/3 m by 7 7/8 m 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?
A) 315
B) 1080
C) 540
D) 945
E) 1160
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The dimensions of the room in meters are 11 2/3 by 7 7/8, or 35/3 by 63/8.

(1) Get a common denominator; the dimensions are 280/24 by 189/24.

(2) Factor out the greatest common divisor of the two numerators; the dimensions are 7*40/24 by 7*27/24.

The side length of the square tiles is the "greatest common divisor" of the two dimensions, which is 7/24. The number of tiles needed is 40*27 = 1080.

ANSWER B: 1080