2007 AMC 8 Problems/Problem 11
Problem
Tiles and
are translated so one tile coincides with each of the rectangles
and
. In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle
?
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cannot be determined
Solution
We first notice that tile III has a on the bottom and a
on the right side. Since no other tile has a
or a
, Tile III must be in rectangle
. Tile III also has a
on the left, so Tile IV must be in Rectangle
.
The answer is
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