2. 外语
  3. What is the perimeter of a rectangle having an area of 105? (1)The length is greater than twice the width. (2)The length and wid

What is the perimeter of a rectangle having an area of 105? (1)The length is greater than twice the width. (2)The length and wid

admin2022-12-09  55
问题 What is the perimeter of a rectangle having an area of 105?
(1)The length is greater than twice the width.
(2)The length and width of the rectangle are both integers greater than 5.
选项 A、Statement (1) ALONE is sufficient, but statement (31) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (30) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (31) 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(31)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
答案B
解析 设长为a，宽为b，那么ab=105=3×5×7。在Statement (1)中，a＞2b，无法求得a，b的具体值。在Statement (2)中，a，b都是大于5的整数，我们从上面的分解质因数中可以看出，a，b的值只有一种选择，a=15，b=7，知道了长和宽，当然就能够求得周长，所以B为正确答案。
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