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November 11th, 2011, 11:34 AM  #1 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,129 Thanks: 685  Similar rectangles
Found this one quite interesting... Code: A E B ______________________              F ________ H       ____________________ D G C All 4 rectangles are similar: AB/AD = AD/AE = EF/EB = FH/FG Area of rectangle AEGD = u square units Area of rectangle FHCG = v square units u = v + 20000 square units What's the area of rectangle EBHF? 
November 11th, 2011, 01:23 PM  #2  
Senior Member Joined: Feb 2010 Posts: 624 Thanks: 98  Re: Similar rectangles Quote:
 
November 11th, 2011, 01:28 PM  #3  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,129 Thanks: 685  Re: Similar rectangles Quote:
Calculate the ACTUAL area. Answer will contain 4 digits, ok?  
November 11th, 2011, 02:53 PM  #4  
Senior Member Joined: Feb 2010 Posts: 624 Thanks: 98  Re: Similar rectangles Quote:
 
November 11th, 2011, 06:09 PM  #5  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,129 Thanks: 685  Re: Similar rectangles Quote:
 
November 13th, 2011, 06:11 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 17,725 Thanks: 1359 
Since 10000 has five digits, it is deliberately misleading to understate the number of digits as four. If the area to be found is w square units, u, w and v are the first, second and fourth terms of a geometric progression with common ratio (?5 + 1)/2. It's easy to confirm that w = 10000. 
November 13th, 2011, 06:51 PM  #7  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,129 Thanks: 685  Re: Quote:
joke meant same way as ye olde "how many months have 28 days? ALL of them!"  
November 13th, 2011, 07:00 PM  #8  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,129 Thanks: 685  Re: Quote:
 

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