My Math Forum divide a rectangle into equal rectangles

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 April 26th, 2009, 09:22 PM #1 Newbie   Joined: Apr 2009 Posts: 3 Thanks: 0 divide a rectangle into equal rectangles Dear all, i need to divide the area of a rectangle to equal rectangles based on parameter. for example if i specify a parameter as 3 , i need 3 best fit rectangles based on the area of my rectangle, if i specify 10 i need 10 equal rectangles .. any idea.. thank you.
 April 27th, 2009, 12:51 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,301 Thanks: 1971 What exactly does "best fit" mean?
April 27th, 2009, 05:28 AM   #3
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Quote:
 Originally Posted by edwinlazer divide the area of a rectangle to equal rectangles based on parameter.
What is the "parameter", and how does it relate to the rectangle, its area, and the equality of the sub-rectangles?

(It might help if you posted the exact text of and instructions for the original exercise.)

Thank you!

 April 27th, 2009, 06:33 AM #4 Senior Member   Joined: Jul 2008 Posts: 895 Thanks: 0 Re: divide a rectangle into equal rectangles This is a "fill the container with boxes" problem. Not a simple solution in general?
 April 28th, 2009, 05:05 AM #5 Newbie   Joined: Apr 2009 Posts: 3 Thanks: 0 Re: divide a rectangle into equal rectangles my rectangle has a width of 1288 and height of 778 i need to divide this area into multiple rectangles based on my parameter, for example if give the parametere as 3 i need 3 equal rectangles within this area(1288x77 if if give the parametere as 6 i need 6 equal rectangles within this area(1288x77 hope the situation is clear now.. thank you for your reply.
 April 28th, 2009, 06:42 AM #6 Senior Member   Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 Re: divide a rectangle into equal rectangles If you have a rectangle of side lengths $x$ and $y,$ then you can fit into that rectangle exactly $n$ rectangles of side length $\frac xn$ and $y,$ for any $n\in\mathbb{N}.$ Is that what you wanted?
 April 28th, 2009, 07:24 AM #7 Newbie   Joined: Apr 2009 Posts: 3 Thanks: 0 Re: divide a rectangle into equal rectangles this will reduce the size of only one side right? i am a programmer .. i want divide my screen(computer monitor) to multiple square or rectangles to show some video on each rectangle, if i m having 10 cameras i have to divide the screen to 10 squares or rectangles to show the video, i need to show 5 cameras on one row and the other 5 in second row.. if i have 16 cameras i want to show 4 cameras on each row... i m having only the length and widht of the screen(monitor) and i will specify how many cameras i have.. is it clear now ..? thank you.
April 28th, 2009, 09:45 AM   #8
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Re: divide a rectangle into equal rectangles

Quote:
 Originally Posted by edwinlazer if i m having 10 cameras i have to divide the screen to 10 squares or rectangles to show the video, i need to show 5 cameras on one row and the other 5 in second row.. if i have 16 cameras i want to show 4 cameras on each row... i m having only the length and widht of the screen(monitor) and i will specify how many cameras i have.. is it clear now ..? thank you.
Then you need to specify BOTH the number of cameras as rectangles [or squares ...which are rectangles] AND the number of rows you require. You can have 16 rectangles in any number of shapes and sizes as a collage. You can have all 16 lined up in one row, or 8 in two rows, or 4 in four rows. You must decide on the parameters you need. The math is simple arithmetic.

Also, PLEASE, this is not a chat group. Try writing your requests in appropriate grammar [capitals, sentence structure, etc.] It was for clarity that grammar was invented.

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### divide a rectangle into multiple of squares

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