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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: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(2): We are not square (in my original post, they are) | Comment 9 of 13 |
(In reply to re: Layman's Maths / we are not SQUARE!!! by Ady TZIDON)

I'd like to thank Ady for pointing out that it is not necessary to use squares, but i'd like to add that for the particular figures that i used in the example, squares are required.

if the height and base of the triangle were of differing lengths, then the "square" objects would in fact be rectangles and the calculation would still work.

  Posted by Juggler on 2004-03-03 11:54:25
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