一块正方形的纸板(如图),先剪下宽7厘米的长方形

  • 时间:2020-04-27 14:43:30
  • 分类:数学世界
  • 阅读:153 次

一块正方形的纸板(如图),

先剪下宽7厘米的长方形

又剪下宽4厘米的长方形,

面积比原来减少104平方厘米。

原来正方形的边长是多少厘米?

数学题解答

在宽为7厘米的长方形内作虚线,

并将这条虚线左侧部分与宽4厘米的小长方形合并后,

沿大正方形左上角逆时针旋转90度后,

放在原正方形的上方。(如题目下方的图)

正方形纸板

示意图

先算出彩色部分的长方形面积:104 + 7 × 4 = 132(平方厘米)

正方形的边长:132 ÷ (7+4)= 12(厘米)

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