Problem

2026 AMC 8 Problem 6

Peter lives near a rectangular field that is filled with blackberry bushes. The field is 10 meters long and 8 meters wide, and Peter can reach any blackberries that are within 1 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?

Problem 6 diagram

\textbf{(A)} \dfrac{1}{6} \qquad \textbf{(B)} \dfrac{1}{4} \qquad \textbf{(C)} \dfrac{1}{3} \qquad \textbf{(D)} \dfrac{3}{8} \qquad \textbf{(E)} \dfrac{2}{5}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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