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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)

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Question re: Possible solution | Comment 2 of 13 |
(In reply to Possible solution by Federico Kereki)

F.K., you wrote:
"Through S draw a parallel to BC; let T be its intersection with BC..."

But there is no intersection with BC if it is parallel.  And the same goes for your parallel through Z.  Do you mean "drop a perpendicular"?

-SK

  Posted by SilverKnight on 2004-03-02 14:13:25

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