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 cannot be reached by Peter ?
A. 35\frac{3}{5}
B. 23\frac{2}{3}
C. 34\frac{3}{4}
D. 45\frac{4}{5}
E. 56\frac{5}{6}

Fraction and percentage word problems中文
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Worked solution

1. 2026 AMC 8 官方解析

触及不到的面积=(8−2)×(10−2)=48(m2)= (8 - 2) \times (10 - 2) = 48(\text{m}^2)，
总面积=8×10=80 (m2)= 8 \times 10 = 80\text{ (m}^2)，
占比=4880=35= \frac{48}{80} = \frac{3}{5} .

Answer

A. 35\frac{3}{5}

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