In the figure above, if the shaded region is rectangular, what is the length of XY?
(1)The perimeter of the shaded region is 24.
(2)The measure of ∠XYZ is 45°.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
如果两个条件都有,进一步拆解题目条件:求XY边长,因为直角三角形+45°的性质,即求XZ或YZ边长;通过45°可得XZ或YZ=阴影矩形的长+宽,所以为12,条件充分,可以选C
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