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Keeping up with the Johnson's


Best Answer k-man, 27 February 2013 - 05:20 AM

Spoiler for The answer I'm getting...

 

 

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#1 BMAD

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Posted 26 February 2013 - 03:28 AM

Four homes are neighbors.  The Alberto’s and Chang’s are adjacent to the Brunson’s and Johnson’s
but only meet each other at a point.  The Brunson’s and Johnson’s properties also only meet at a point.  The combine yards of the properties are surrounded by three roads. There is a road that runs by Alberto and Johnson, another road going by Johnson and Chang, and a road that runs by the Brunson’s.   The fence used to divide the Brunson’s property runs perfectly straight with his adjacent neighbors.  The Albertson’s claim their property is 500
sq. ft., the Chang’s state that their property is only 300 sq. ft., and  the Brunson’s property is 1000 sq. ft.  However, the Johnson’s do not know how big their property is, all they know is that their property is the biggest property and a quadrilateral.  Assuming his neighbors are correct, how big is their property?


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#2 BMAD

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Posted 26 February 2013 - 04:31 AM

** to clarify: the Brunson's fence runs perfectly straight with their adjacent neighbor's fences.
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#3 k-man

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Posted 26 February 2013 - 05:48 PM

Are the roads supposed to be straight?

 

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#4 BMAD

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Posted 26 February 2013 - 05:54 PM

Yes. The roads are straight
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#5 k-man

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Posted 26 February 2013 - 05:59 PM

Yes. The roads are straight

Ok, so then the Brunson's fence cannot be straight. Did you mean that it consists of 2 straight sections?


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#6 k-man

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Posted 26 February 2013 - 06:41 PM

I think I get what you were trying to say. Brunson's fence forms straight lines with other fences, so essentially the puzzle is

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#7 BMAD

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Posted 26 February 2013 - 10:56 PM

I think I get what you were trying to say. Brunson's fence forms straight lines with other fences, so essentially the puzzle is

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yeah that is the picture i am looking for.   i didn't do the best with  this OP.  Thank you for helping me say it better. :)


Edited by BMAD, 26 February 2013 - 11:02 PM.

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#8 k-man

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Posted 27 February 2013 - 05:20 AM   Best Answer

Spoiler for The answer I'm getting...

 

 


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#9 BMAD

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Posted 27 February 2013 - 05:39 AM

Very nice! I guess the Johnson's really didn't know their property size!!

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Edited by BMAD, 27 February 2013 - 05:41 AM.

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