1992 AMC 8 Problem 22
Below is the professionally curated solution for Problem 22 of the 1992 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1992 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1170
22.
Eight square tiles are arranged so their outside edges form a polygon with a perimeter of units. Two additional tiles of the same size are added to the figure so that at least one side of each added tile is shared with a side of one of the original squares. Which of the following could be the perimeter of the new figure?
Solution:
A tile that shares exactly one side adds to the perimeter (four new edges minus two hidden), while a tile sharing two sides adds
With two added tiles the perimeter can change by or giving new perimeters of or Of the choices, only is possible.
Thus, the correct answer is C .
Problem 22 in Other Years
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