Difference between revisions of "2025 AMC 8 Problems/Problem 11"
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<math>\textbf{(A)}I</math> and <math>L\qquad \textbf{(B)} I</math> and <math>T\qquad \textbf{(C)} L</math> and <math>L\qquad \textbf{(D)}L</math> and <math>S\qquad \textbf{(E)}O</math> and <math>T</math> | <math>\textbf{(A)}I</math> and <math>L\qquad \textbf{(B)} I</math> and <math>T\qquad \textbf{(C)} L</math> and <math>L\qquad \textbf{(D)}L</math> and <math>S\qquad \textbf{(E)}O</math> and <math>T</math> | ||
| + | |||
| + | ==Solution 1== | ||
| + | |||
| + | The <math>3\times4</math> rectangle allows for 4 possible places to put the S piece, with each possible placement having an inverted version. | ||
| + | <asy> | ||
| + | |||
| + | path x = (0,0)--(0,2)--(1,2)--(1,3)--(2,3)--(2,1)--(1,1)--(1,0)--cycle; | ||
| + | add(grid(4,3)); | ||
| + | fill(x; gray(1)); | ||
| + | </asy> | ||
Revision as of 12:00, 30 January 2025
Problem 11
A 
consists of four squares connected along their edges. There are five possible tetromino shapes, 
, 
, 
, 
, and 
, shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a 
rectangle. At least one of the tiles is an tile. What are the other two tiles?
and 
and 
and 
and 
and
Solution 1
The rectangle allows for 4 possible places to put the S piece, with each possible placement having an inverted version.
path x = (0,0)--(0,2)--(1,2)--(1,3)--(2,3)--(2,1)--(1,1)--(1,0)--cycle; add(grid(4,3)); fill(x; gray(1)); (Error making remote request. Unknown error_msg)
