In the figure above，the area of the shaded region is

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问题

选项 A、
B、
C、
D、
E、

答案D

解析 First, the diagonal of the square with sides of length 4 is 4

. From this it follows that the area of the shaded region consists of the area of an equilateral triangle with sides 4

minus — the area of a square with sides of length 4. Thus, the area of the shaded region is

.
The correct answer is D.

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