2. 外语
  3. A rectangle is inscribed in a circle. The circle has radius 5, what is the perimeter of the rectangle? (1) One side of the recta

A rectangle is inscribed in a circle. The circle has radius 5, what is the perimeter of the rectangle? (1) One side of the recta

admin2022-12-09  48
问题 A rectangle is inscribed in a circle. The circle has radius 5, what is the perimeter of the rectangle?
(1) One side of the rectangle is 6
(2) The area of the rectangle is 48
选项 A、Statement (1) ALONE is sufficient, but statement (14) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (13) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (14) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(14)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案D
解析 由于圆内接的是矩形，那么矩形的对角线便是圆的直径，矩形对角线=2×5=10。
单独(1)：有一边为6，由于对角线为10，则另一边为8，所以单独1可以求得矩形的周长。
单独(2)：矩形的面积为48，设两边分别为x，y，则xy=48，而x2+y2=100，那么能够求出x，y，所以单独(2)也可以求得矩形的周长。因此选择D。
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