A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, I, O, L, T, and S, shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a $3 \times 4$ rectangle. At least one of the tiles is an S tile. What are the other two tiles? A. I and L
I 和 L
B. I and T
I 和 T
C. L and L
L 和 L
D. L and S
L 和 S
E. O and T
O 和 T

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完整解法

1. 2025 AMC 8 官方解析

Answer (C): After accounting for rotations and reflections, there are only two valid placements of an S tile, which are shown below.

Any other placement of an S tile results in a corner square that cannot be covered, as shown below.

For either of the valid placements of an S tile, the only way to cover the remaining space is with two L tiles.

答案

C. L and L
L 和 L

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