[中译] Puzzleup 2018 (1) TRIANGLE, SQUARE, RE

楼主: buffalobill (水牛比尔)   2018-08-16 21:12:45
题目网址: http://www.puzzleup.com/2018/
http://www.puzzleup.com/2018/puzzle/?1
答题时限: 8月1日7PM-比赛结束(约12月12日)
加分时限: 8月1日7PM-8月7日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。 
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分       
另依题目的难易有额外加分(如有80%的人这题答错,答对者加80分)  
◆TRIANGLE, SQUARE, RECTANGLE
Cut a 100 units long stick into 11 pieces. Length of each piece must be a
positive integer. Then , using each piece exactly once, form a triangle, a
square and a rectangle which is not a square.
What is the area of the rectangle that maximizes the total area of the three
shapes?
Note: Each shape must have an area greater than zero.
将 100 单位长的棒子剪成11段,每段长度必须为正整数。接着,运用每一段棒子,组成
一个三角形,一个正方形,以及一个非正方形之长方形。
在使这三个形状之总面积最大之情形下,长方形之面积为何?
注:每个形状的面积必须大于零。

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