AMC 8 1988 Problem 17
AMC8 1988 年第 17 题
面积与周长（综合）★★★☆☆
The shaded region formed by the two intersecting perpendicular rectangles, in square units, is
两个垂直相交矩形形成的着色区域面积是多少平方单位？
- A.23
- B.38
- C.44
- D.46
- E. / 无法由所给信息确定
正确答案 · Correct Answer
B
解析 · Solution
Solution 1
The area of the 2×10 rectangle is 20, while the area of the 8×3 rectangle is 24. If these two areas were added together, however, the area of the intersection, which is a 2×3 rectangle, would be counted twice. Since the intersection has area 6, the area of this figure must be 20 + 24 - 6 = 38.
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