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SAT官方每日一题2011.7.21

信息来源:网络  发布时间:2011-07-22

2011年7月21日

考试类型:Mathematics > Standard Multiple Choice

 

Read the following SAT test question and then click on a button to select your answer. 

The length of rectangle S is twenty percent longer than the length of rectangle R, and the width of rectangle S is twenty percent shorter than the width of rectangle R. The area of rectangle S is

 

A.

B.

C. equal to the area of rectangle R

D. 4% less than the area of rectangle R

E.

 

 

 

 

正确答案:D

解析:

Represent the length and width of rectangle R as x and y. Then the area of R is x times y. The length of rectangle S is 20% longer than x, which is x = 0.20 times x, or 1.2 times x. Similarly, the width of S is y minus 0.20 times y, or 0.8 times y. The area of S is (1.2 times x) times (0.8 times y), which simplifies to 0.96 times x times y. From this it follows that the area of rectangle S is 4% less than t

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