2025 AMC 8 Problem 11

A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, \mathrm{I}, \mathrm{O}, \mathrm{L}, \mathrm{T}, and \mathrm{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 \mathrm{S} tile. What are the other two tiles?

\textbf{(A)} \mathrm{I} and \mathrm{L} \qquad \textbf{(B)} \mathrm{I} and \mathrm{T} \qquad \textbf{(C)} \mathrm{L} and \mathrm{L} \qquad \textbf{(D)} \mathrm{L} and \mathrm{S} \qquad \textbf{(E)} \mathrm{O} and \mathrm{T}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.