AMC 8 2026 Problem 6

AMC8 2026 年第 6

面积与周长(综合)★★☆☆☆
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?
住在一块长方形黑莓地附近。这块地长 10 米,宽 8 米。他能够采摘到距离地块边缘 1 米范围内的所有黑莓。下图中阴影部分表示他能到达的区域。他能到达的区域占整块地面积的几分之几?
AMC 8 2026 Problem 6 figure
  1. A.16\displaystyle \frac{1}{6}
  2. B.14\displaystyle \frac{1}{4}
  3. C.13\displaystyle \frac{1}{3}
  4. D.38\displaystyle \frac{3}{8}
  5. E.25\displaystyle \frac{2}{5}

正确答案 · Correct Answer

E

解析 · Solution

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