AMC 8 2009 Problem 8

AMC8 2009 年第 8 题

百分比★★☆☆☆
The length of a rectangle is increased by 10% percent and the width is decreased by 10% percent. What percent of the old area is the new area?
矩形的长增加了 10%,宽减小了 10%,那么新的矩形面积是原来的面积的百分之多少?
  1. A.90
  2. B.99
  3. C.100
  4. D.101
  5. E.110

正确答案 · Correct Answer

B

解析 · Solution

Solution 1

In a rectangle with dimensions 10×10, the new rectangle would have dimensions 11×9. The ratio of the new area to the old area is 99100=99%\displaystyle \frac{99}{100} = 99\%.

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