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SAT官方每日一题2011.5.16

信息来源:网络  发布时间:2011-05-16

2011年5月16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 a rectangle is increased by 20%, and the width of the rectangle is increased by 30%. By what percentage will the area of the rectangle be increased?

 

A. 25%

B. 36%

C. 50%

D. 56%

E. 60%

 

 

 

 

正确答案:D

解析:

Let l and w be the original length and width of the rectangle, respectively. If we denote by L and W the new length and width of the rectangle, respectively, then we have:

L = l + ((20 over 100) times l) = 1.2 times l and W = w + ((30 over 100) times w) = 1.3 times w

So, the new area will be:

A = L times W = (1.2 times l) times (1.3 times w) = 1.56 times (l times w)

 1.56 times (l times w) = (l times w) + ((56 over 100) times (l times w))

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