2008 AMC 8 第 4 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
4.
如图，外面的等边三角形面积为 ，里面的等边三角形面积为 ，三个梯形全等。一个梯形的面积是多少？
In the figure, the outer equilateral triangle has area the inner equilateral triangle has area and the three trapezoids are congruent. What is the area of one of the trapezoids?
小提示：
从外三角形面积中减去内三角形面积
Subtract the inner triangle area from the outer triangle area.
大提示：
剩余面积被三个全等梯形平均分
The remaining area is split equally among the three congruent trapezoids.
解答：
外三角形面积为 ，内三角形面积为 。
因此三个全等梯形的总面积为 ，每个梯形的面积为 。
所以正确答案是 C。
The outer triangle has area , and the inner triangle has area .
So the three congruent trapezoids have total area , and each trapezoid has area .
Thus, C is the correct answer.
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