
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 18th, 2009, 09:08 AM  #1 
Newbie Joined: Feb 2009 Posts: 6 Thanks: 0  Problem of Squares
I've been presented with this problem... " If the smallest square has dimensions 1 x 1, what is the AREA of the rectangle ABCD. This problem is not to be solved using a ruler. " The square then looks like: Where I drew a line out is the smallest square, 1 x 1. Sorry about the bad drawing... In total there's 9 squares within the big square so I guess you could say 10 total? So how does one go about solving this problem? Any solutions would be great. 
February 18th, 2009, 12:16 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,104 Thanks: 1907 
Rotated through ninety degrees, the rectangle is as shown below. The sizes of the component squares are easily found, since they must tally along common edges. The required area is therefore 1056. 
February 18th, 2009, 03:17 PM  #3 
Newbie Joined: Feb 2009 Posts: 6 Thanks: 0  Re: Problem of Squares
Where'd you get these numbers from though? Mind showing me some of the algebra skills you used to solve down... I'd love to see exactly what you did so I know what I'm doing. Thanks a lot man, this is great. 
February 19th, 2009, 01:00 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,104 Thanks: 1907 
The diagram is from this article, which you could have found using a Google search. It explains the method and summarizes some interesting history.


Tags 
problem, squares 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
A difficult problem in geometry  A Triangle and Two Squares  metavdr  Geometry  7  February 8th, 2014 08:59 AM 
sum of squares  Hoempa  Math Events  2  December 6th, 2013 02:12 AM 
squares  mathkid182  Linear Algebra  2  May 1st, 2013 04:39 PM 
squares  WillingSponge  Number Theory  5  July 9th, 2010 07:52 AM 
A tough problem about perfect squares  elim  Number Theory  0  April 19th, 2010 08:15 AM 