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# An oldie a professor once told me on Area and Perimeter

Best Answer Pickett, 08 May 2013 - 03:39 PM

This is actually a duplicate puzzle as the one I posted a long while ago on these forums:

http://brainden.com/...p/topic/6736--/

The only difference is the perimeter would obviously be twice the "SUM" in the problem I posted...but just divide by 2, and it's the same logic to figure out...I love this puzzle...

Go to the full post

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Posted 08 May 2013 - 03:33 AM

Two smart mathematicians (Ben and Jen) are told that a rectangle with integer sides L and W has been drawn, having perimeter less than 200, where L > W > 1 . Ben is told the area, Jen is told the perimeter. They now say:
Ben: "I can't determine the dimensions." Jen: "I knew that."
Ben responds, "Now I can determine them." Jen: "So can I."
Given these are true statements, what are the length and the width?

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### #2 dark_magician_92

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Posted 08 May 2013 - 09:33 AM

Let me do a bonanova -

For starters

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### #3 dark_magician_92

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Posted 08 May 2013 - 09:37 AM

Further

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### #4 dark_magician_92

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Posted 08 May 2013 - 09:41 AM

^ On secons thought, post 3 may not be right.

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### #5 witzar

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Posted 08 May 2013 - 02:34 PM

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### #6 TimeSpaceLightForce

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Posted 08 May 2013 - 03:31 PM

Spoiler for

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### #7 Pickett

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Posted 08 May 2013 - 03:39 PM   Best Answer

This is actually a duplicate puzzle as the one I posted a long while ago on these forums:

http://brainden.com/...p/topic/6736--/

The only difference is the perimeter would obviously be twice the "SUM" in the problem I posted...but just divide by 2, and it's the same logic to figure out...I love this puzzle...

Edited by Pickett, 08 May 2013 - 03:48 PM.

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### #8 bonanova

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Posted 08 May 2013 - 03:56 PM

Spoiler for looks like

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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Posted 08 May 2013 - 04:01 PM

I am not surprised.  As I stated in the forum title this is an old riddle.  Sadly my forum seeking ability for old posts is not as strong as it should be.

This is actually a duplicate puzzle as the one I posted a long while ago on these forums:

http://brainden.com/...p/topic/6736--/

The only difference is the perimeter would obviously be twice the "SUM" in the problem I posted...but just divide by 2, and it's the same logic to figure out...I love this puzzle...

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Posted 08 May 2013 - 04:01 PM

Though Pickett got the right answer bonus points go to Bonanova for an awesome explanation.

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