2017 AMC 8 Problem 11
Below is the video solution and professionally curated solution for Problem 11 of the 2017 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2017 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1140
11.
A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is how many tiles cover the floor?
Video solution:
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Written solution:
tiles on both diagonals imply that there are tiles on each diagonal, since one tile overlaps in the middle. The total number of tiles would then be since the number of tiles in each row is equal to the number of tiles in one diagonal.
Thus, C is the correct answer.
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