1994 AMC 8 第 16 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
16.
一个正方形的周长是另一个正方形周长的 倍。较大正方形的面积是较小正方形面积的多少倍？
The perimeter of one square is times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?
小提示：
如果周长是 倍，那么边长也是 倍
If the perimeter is times as large, the side length is also times as large
大提示：
面积按边长比例的平方缩放
Area scales as the square of the ratio of side lengths
解答：
正方形的周长与边长成正比，所以较大正方形的边长是较小正方形的 倍。
面积等于边长的平方，所以较大面积是较小面积的 倍。
所以正确答案是 E。
A square’s perimeter is proportional to its side, so the larger square has side length times the smaller one.
Area is the side squared, so the larger area is times the smaller.
Thus, the correct answer is E .
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