
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 1st, 2009, 08:18 AM  #1 
Newbie Joined: Nov 2009 Posts: 2 Thanks: 0  Confused Problem
How many ways are there to partition a 10 by 12 rectangle into four regions using sides x+a by x+b, where x, a, and b are positive integers? All I got is (x+10)(x+12) and then FOIL I am not sure if this is in any way correct which is why I am stuck. Any help is appreciated. 
November 1st, 2009, 10:16 AM  #2 
Member Joined: Oct 2009 Posts: 39 Thanks: 0  Re: Confused Problem
[quote="Scary69l"]How many ways are there to partition a 10 by 12 rectangle into four regions using sides x+a by x+b, where x, a, and b are positive integers? All I got is (x+10)(x+12) and then FOIL I am not sure if this is in any way correct which is why I am stuck. Any help is appreciated.[/quote The point is that BOTH x and a (or b) are integers. So side can be (1, 2, 3, 4...10) or (1, 2, 3...12). It gives you limited number of divisions. Side shows how many, let's called it, degrees of freedom (DOF) we have. If it is x=2 b=2 and a=1 then in 12 side we have of 8 of 4 (x+b) DOF and 9 od 3 (x+a) DOF. 8 because 124=8, in other words we can put side x+b in 8 positions. It is for ANY x or a or b. However x+a and x+b must be  if I understand properly the problem  divider of 12 or 10, and we have limitation to sum of them. And here I need clarification: is it that x+a corresponds to side 12 and x+b corresponds to side 10 or should they correspond BOTH? I need it because solution depends of it. For example if x+a corresponds to 12 AND x+b corresponds to 10 THEN we have x in both and it is very narrow 'space' for a and b (as it must be x+a divider of 12 and x+b divider of 10). Please clarify that means conditions. 
November 1st, 2009, 11:43 AM  #3 
Newbie Joined: Nov 2009 Posts: 2 Thanks: 0  Re: Confused Problem
I myself am completely confused with the question. Which is why I will probably skip it for now. Thanks for your help 

Tags 
confused, problem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Confused about this KMP problem  unknownuser  Computer Science  1  May 29th, 2013 09:03 AM 
Confused on a problem, please help.  CPaul144  Algebra  3  December 4th, 2011 11:18 PM 
Another Beginner Problem I'm confused with  NathanielZhu  Calculus  7  July 28th, 2010 04:42 AM 
Help please. I am completely confused by this problem  mids1999  Applied Math  1  August 19th, 2009 11:06 AM 
confused with a sqare root problem  mr.confused  Algebra  1  October 17th, 2008 04:23 PM 