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 Packing 'em In (Posted on 2004-03-02)

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)

 Subject Author Date answer K Sengupta 2007-08-29 11:55:46 Another way Axorion 2004-03-03 19:27:47 re(4): We are not square (in my original post, they are) Juggler 2004-03-03 19:20:57 re(3): We are not square (in my original post, they are) DJ 2004-03-03 13:39:12 re(2): We are not square (in my original post, they are) Juggler 2004-03-03 11:54:25 re: Layman's Maths / we are not SQUARE!!! Ady TZIDON 2004-03-03 02:30:44 Layman's Maths Juggler 2004-03-03 02:07:02 The Calculus Charlie 2004-03-02 15:36:59 A generalization Federico Kereki 2004-03-02 14:43:10 re(2): Possible solution Federico Kereki 2004-03-02 14:41:02 re(2): Possible solution DJ 2004-03-02 14:25:18 re: Possible solution SilverKnight 2004-03-02 14:13:25 Possible solution Federico Kereki 2004-03-02 14:07:23

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