2017 AMC 8 Problems/Problem 11
Problem 11
A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor?
Solution
Since the number of tiles lying on both diagonals is , counting one tile twice, there are
tiles on each side. Hence, our answer is
.
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.