设长方形短边为a,长边为b,正方形边长为c
则有：ab=c²
所以c=√ab
用长方形周长-正方形周长,得：
2（a+b）-4c=2（a+b-2√ab）=2（√a-√b）²＞0
所以长方形的周长比正方形周长长
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