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Old 2014-07-18, 18:33   #1
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
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Default Rugged Challenge

Hi Fun Math People,

I have a fun puzzle.

A rug has a hole in it as shown.

Is it possible to create a square rug by cutting the existing rug into exactly two pieces?

In case you can't see the attachment, the rug measures 12 feet by 9 feet with a one foot by 8 foot hole in its center.

Regards,
Matt
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File Type: pdf Matt puzzle.pdf (255.4 KB, 131 views)
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Old 2014-07-18, 19:34   #2
rogue
 
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If you can flip sections of the rug upside down, then yes, but maybe someone has a solution that doesn't require that.
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Old 2014-07-19, 00:15   #3
MattcAnderson
 
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At least the square footages come out right.
12*9 = 108
minus the 8 square foot hole gives
100 square feet for the 10 by 10 sown up rug.

I will wait a few days and then post the answer.

Regards,
Matt
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Old 2014-07-19, 23:49   #4
lavalamp
 
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I have a solution that does not require flipping one of the pieces over.

Not sure how to post it without it being a spoiler though. Plus the margins are too small, etc. etc.
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Old 2014-07-20, 03:26   #5
axn
 
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Quote:
Originally Posted by lavalamp View Post
Not sure how to post it without it being a spoiler though. Plus the margins are too small, etc. etc.
Posting as an attachment is automatically spoilerised, innit?
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Old 2014-07-20, 13:53   #6
lavalamp
 
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I prettified my answer. For those who wish to see, re-save the attached file with the extension .html instead of .txt
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File Type: txt rugged.txt (6.1 KB, 126 views)
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Old 2014-07-22, 03:37   #7
MattcAnderson
 
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LavaLamp has the right answer. Cut one foot over and two feet down and make stair steps like that to the bottom of the hole, and then another set of steps from the top of the hole to the side.

Regards,
Matt
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Old 2014-07-22, 10:13   #8
lavalamp
 
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I'd be interested to see Rogue's solution where one piece is flipped.
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Old 2014-07-29, 16:09   #9
MattcAnderson
 
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Here is a .pdf document. Rugged Challenge is problem #12.

Regards,
Matt
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File Type: pdf Matt puzzle answer 1.pdf (214.4 KB, 89 views)
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