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  3. Is the perimeter of a certain rectangular garden greater than 50 meters? (1) The two shorter sides of the garden are each 15 met

Is the perimeter of a certain rectangular garden greater than 50 meters? (1) The two shorter sides of the garden are each 15 met

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问题 Is the perimeter of a certain rectangular garden greater than 50 meters?
(1) The two shorter sides of the garden are each 15 meters long.
(2) The length of the garden is 5 meters greater than the width of the garden.
选项 A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案A
解析 Let W represent the length of the shorter side (that is, the width) of the rectangular garden, and let L represent the length of the longer side (that is, the length).The perimeter is then 2(L + W). Determine if 2(L + W) > 50 is true, or equivalently, if L +W> 25 is true.
(1)    It is given that W= 15, from which it follows that L > 15.Then, L + W> 15 + 15 > 25; SUFFICIENT
(2)    It is given that L = W+S, from which it follows that L+W=2W+5. If, for example, W= 1, then 2W+ 5 is not greater than 25, but if W= 11, then 2W+ 5 is greater than 25; NOT sufficient.
The correct answer is A; statement 1 alone is sufficient.
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