2026 AMC 8 Problem 6
Attempt Problem 6 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).
6.
Peter lives near a rectangular field that is filled with blackberry bushes. The field is meters long and meters wide, and Peter can reach any blackberries that are within meter of an edge of the field. The portion of the field he can reach is shaded in the figure below. What fraction of the area of the field can Peter reach?
Small hint:
Find the unreachable inner rectangle
Big hint:
Reachable area = field area - inner area
Video solution:
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Written solution:
The whole field has area . The unreachable inner rectangle is meters by meters, with area . Thus the reachable area is , and the fraction is .
Problem 6 in other years
- 1985 AMC 8
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