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Packing 'em In (Posted on 2004-03-02) Difficulty: 3 of 5

ABC is an acute-angled triangle with area 1. A rectangle F(PQRS) has its vertices on the sides of the triangle, with P and Q on BC, R on AC, and S on AB. Another rectangle, G(WXYZ), has its vertices on the sides of triangle ASR, with W and X on RS, Y on AS, and Z on AR.

What is the maximum total area of F and G?

See The Solution Submitted by DJ    
Rating: 4.2000 (10 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2007-08-29 11:55:46
Another wayAxorion2004-03-03 19:27:47
re(4): We are not square (in my original post, they are)Juggler2004-03-03 19:20:57
Some Thoughtsre(3): We are not square (in my original post, they are)DJ2004-03-03 13:39:12
Some Thoughtsre(2): We are not square (in my original post, they are)Juggler2004-03-03 11:54:25
Hints/Tipsre: Layman's Maths / we are not SQUARE!!!Ady TZIDON2004-03-03 02:30:44
Some ThoughtsLayman's MathsJuggler2004-03-03 02:07:02
SolutionThe CalculusCharlie2004-03-02 15:36:59
SolutionA generalizationFederico Kereki2004-03-02 14:43:10
Some Thoughtsre(2): Possible solutionFederico Kereki2004-03-02 14:41:02
re(2): Possible solutionDJ2004-03-02 14:25:18
Questionre: Possible solutionSilverKnight2004-03-02 14:13:25
SolutionPossible solutionFederico Kereki2004-03-02 14:07:23
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