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2026 AMC 8 Question 13

AMC8 · 2026 AMC 8

Question 13

The figure below shows a tiling of $1 \times 1$ 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?

Question illustration
  1. $10$
  2. $\dfrac{21}{2}$
  3. $\dfrac{32}{3}$
  4. $11$
  5. $\dfrac{34}{3}$