Difference between revisions of "2002 AMC 8 Problems/Problem 23"
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Contents
Problem
A corner of a tiled floor is shown. If the entire floor is tiled in this way and each of the four corners looks like this one, then what fraction of the tiled floor is made of darker tiles?
Solution
The same pattern is repeated for every tile. Looking closer, there is also symmetry of the top
square, so the fraction of the entire floor in dark tiles is the same as the fraction in the square. Counting the tiles, there are
dark tiles, and
total tiles, giving a fraction of
.
Video Solution
https://www.youtube.com/watch?v=rJnc0Tes3LU ~David
See Also
2002 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.