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AMC8 1998

AMC8 1998 · Q13

AMC8 1998 · Q13. It mainly tests Area & perimeter.

What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale.)
阴影正方形的面积与大正方形的面积之比是多少?(图形按比例绘制。)
stem
(A) \frac{1}{6} \frac{1}{6}
(B) \frac{1}{7} \frac{1}{7}
(C) \frac{1}{8} \frac{1}{8}
(D) \frac{1}{12} \frac{1}{12}
(E) \frac{1}{16} \frac{1}{16}
Answer
Correct choice: (C)
正确答案:(C)
Solution
Divide the square into 16 smaller squares. The shaded square is 2 small squares. Ratio $2/16 = 1/8$.
将正方形分成 16 个小正方形。阴影正方形是 2 个小正方形。比例 $2/16 = 1/8$。
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