¶ 2026 AMC8 Problem 6
Problem:
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?
Answer Choices:
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Solution:
The total area of the field is . The area that Peter cannot reach forms a by rectangle which has an area of . So, the area of blackberries that Peter can reach is square meters, which is or of the total field.
The problems on this page are the property of the MAA's American Mathematics Competitions