AMC 8 2003 Problem 25

AMC8 2003 年第 25

三角形★★★★
In the figure, the area of square WXYZWXYZ is 25cm225 \text cm^2. The four smaller squares have sides 1 cm long, either parallel to or coinciding with the sides of the large square. In ABC\triangle ABC, AB = AC, and when ABC\triangle ABC is folded over side \overlineBC\overlineBC, point AA coincides with OO, the center of square WXYZWXYZ. What is the area of ABC\triangle ABC, in square centimeters?
在下图中,正方形 WXYZ 的面积为 25 平方厘米。四个小正方形边长为 1 厘米,它们的各边与大正方形的边平行或重合。在中, ,若将沿着边折叠,则点 A 和正方形的中心重合。那么的面积是多少平方厘米?
  1. A.154\displaystyle \frac{15}4
  2. B.214\displaystyle \frac{21}4
  3. C.274\displaystyle \frac{27}4
  4. D.212\displaystyle \frac{21}2
  5. E.272\displaystyle \frac{27}2

正确答案 · Correct Answer

C

解析 · Solution

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