1988 AMC 8 第 17 题
先试着解答 1988 AMC 8 第 17 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1988 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
17.
阴影区域由两个互相垂直相交的矩形组成，尺寸如图所示。它的面积是多少平方单位？
The shaded area is formed by two intersecting perpendicular rectangles, with dimensions as shown. Its area, in square units, is
无法由给定信息确定
unable to be determined from the information given
小提示：
把两个矩形面积相加，但重叠部分会被计算两次
Add the areas of the two rectangles, but the overlapping region gets counted twice
大提示：
水平矩形是 ，竖直矩形是 ，重叠部分是 。
The horizontal rectangle is the vertical one is and the overlap is
解答：
水平矩形面积为 ，竖直矩形面积为 。它们的重叠部分是一个 矩形，面积为 。
直接相加两个矩形会把重叠部分算两次，所以阴影面积是 。
所以正确答案是 B。
The horizontal rectangle has area and the vertical rectangle has area Their overlap, a rectangle, has area
Adding the two rectangles counts the overlap twice, so the shaded area is
Thus, the correct answer is B .
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