AMC8 2008
AMC8 2008 · Q6
AMC8 2008 · Q6. It mainly tests Area & perimeter.
In the figure, what is the ratio of the area of the gray squares to the area of the white squares?
在图中，灰色正方形的面积与白色正方形的面积之比是多少？
(A)
3 : 10
3 : 10
(B)
3 : 8
3 : 8
(C)
3 : 7
3 : 7
(D)
3 : 5
3 : 5
(E)
1 : 1
1 : 1
Answer
Correct choice: (D)
正确答案：（D）
Solution
Answer (D): After subdividing the central gray square as shown, 6 of the 16 congruent squares are gray and 10 are white. Therefore, the ratio of the area of the gray squares to the area of the white squares is $6:10$ or $3:5$.
答案（D）：如图将中央的灰色正方形细分后，16个全等小正方形中有6个是灰色，10个是白色。因此，灰色小正方形的面积与白色小正方形的面积之比为$6:10$，即$3:5$。
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