2026 AMC 8 Problem 13
Attempt Problem 13 of the 2026 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
13.
The figure below shows a tiling of unit squares. Each row of unit squares is shifted horizontally by half a unit relative to the row above it. A shaded square is drawn on top of the tiling. Each vertex of the shaded square is a vertex of one of the unit squares. In square units, what is the area of the shaded square?
Answer: A
Small hint:
Look at one side of the shaded square
Big hint:
That side moves units horizontally and unit vertically
Video solution:
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Written solution:
One side of the shaded square goes unit widths horizontally and unit vertically in the grid. Its length squared is therefore . The area of a square equals its side length squared, so the shaded area is .
Problem 13 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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