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HMMT 二月 2001 · 冲刺赛 · 第 27 题

HMMT February 2001 — Guts Round — Problem 27

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [5] Mona has 12 match sticks of length 1, and she has to use them to make regularpolygons, with each match being a side or a fraction of a side of a polygon, and no twomatches overlapping or crossing each other. What is the smallest total area of the polygons
    Mona can make?
解析

英文解析

  1. [5] Mona has 12 match sticks of length 1, and she has to use them to make regularpolygons, with each match being a side or a fraction of a side of a polygon, and no twomatches overlapping or crossing each other. What is the smallest total area of the polygons
    Mona can make?
    √
    √
    Solution: 4 = 3 .3 4