AMC 8 1998 Problem 13
AMC8 1998 年第 13 题
面积与周长（综合）★★★☆☆
What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale)
着色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）
- A.
- B.
- C.
- D.
- E.
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
We can divide the large square into quarters by diagonals.
Then, in the area of the big square, the little square would have the area.
Answer: C
Divide the square into 16 smaller squares as shown. The shaded square is formed from 4 half-squares, so its area is 2. The ratio 2 to 16 is .
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