AMC8 2008
AMC8 2008 · Q4
AMC8 2008 · Q4. It mainly tests Area & perimeter.
In the figure, the outer equilateral triangle has area $16$, the inner equilateral triangle has area $1$, and the three trapezoids are congruent. What is the area of one of the trapezoids?
在图中，外层等边三角形的面积是 $16$，内层等边三角形的面积是 $1$，三个梯形全等。其中一个梯形的面积是多少？
(A)
3
3
(B)
4
4
(C)
5
5
(D)
6
6
(E)
7
7
Answer
Correct choice: (C)
正确答案：（C）
Solution
Answer (C): The area of the outer triangle with the inner triangle removed is $16-1=15$, the total area of the three congruent trapezoids. Each trapezoid has area $\frac{15}{3}=5$.
答案（C）：外三角形去掉内三角形后的面积为 $16-1=15$，这就是三个全等梯形的总面积。每个梯形的面积为 $\frac{15}{3}=5$。
Topics
Related Questions
Practice full AMC exams on amcdrill.
Try full-length practice and diagnostics at www.amcdrill.com.