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#1 2007-12-26 02:59:51

Identity
Member
Registered: 2007-04-18
Posts: 934

Rectangles and optimization! (Hard)

By counting carefully it can be seen that a rectangular grid measuring 3 by 2 contains eighteen rectangles.

Although there exists no rectangular grid that contains exactly two million rectangles, find, using an algebraic method, the area of the grid with the nearest solution.

cool

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#2 2007-12-26 08:17:28

mathsyperson
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Registered: 2005-06-22
Posts: 4,900

Re: Rectangles and optimization! (Hard)

Fun fact: The answer is palindromic.


Why did the vector cross the road?
It wanted to be normal.

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