SOLUTION: The minimum number of identical square tiles required to tile a large rectangular ballroom floor 85.8 m by 136.5 m is

Question 1098519: The minimum number of identical square tiles required to tile a large rectangular ballroom floor 85.8 m by 136.5 m is
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The minimum number of identical square tiles required to tile a large rectangular ballroom floor 85.8 m by 136.5 m is
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Area = 858 by 1365 dm (decimeters)
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858 = 2*3*11*13
1365 = 3*5*7*13
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Common factors are 3 & 13
3*13 = 39
858/39 = 22
1365/39 = 35
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The fewest tiles are 39 dm square, or 3.9 meters square.
There are 22*35 = 770 of them

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