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# Dog freedom?

Best Answer bonanova, 25 March 2013 - 10:56 PM

Trying to resolve this puzzle assuming a rectangular house.

There are four places the dog can be tethered, between which the area changes monotonically.

Therefore, their respective areas contain the extremal area values.

Spoiler for Here they are

Go to the full post

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Posted 22 February 2013 - 05:36 AM

You put your dog on a leash.  Your leash is 80 feet in length.  The dog is tethered to part of the exterior of your house (the tie is not part of the 80 feet).  Your home's dimensions are 60ft by 40ft.  How much yard does the dog have access to?

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### #2 bonanova

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Posted 22 February 2013 - 07:01 AM

Spoiler for Depends.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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### #3 Debasis

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Posted 22 February 2013 - 12:36 PM

i have taken for granted the that the dog is tied to the corner of the house.....

Spoiler for What i think

Edited by Debasis, 22 February 2013 - 12:42 PM.

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### #4 Debasis

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Posted 22 February 2013 - 12:52 PM

Spoiler for what i think

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### #5 Debasis

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Posted 22 February 2013 - 12:54 PM

Spoiler for Depends.

did you take in to consideration that if you go around the house (on 60 ft side For example)when you turn to other side you will get access to only the quadrant with 20 ft radius?

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Posted 22 February 2013 - 01:31 PM

don't take for granted where The dog is tied
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Posted 22 February 2013 - 01:55 PM

Spoiler for 'tieing

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### #8 k-man

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Posted 22 February 2013 - 03:39 PM

Spoiler for Assuming there is no fence or other obstacles around the house...

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### #9 bonanova

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Posted 22 February 2013 - 05:13 PM

Spoiler for 'tieing

Sure. There are an infinite number of tie points.
Do you want a general equation?
Do you want the tie point for max or min?
Something other?
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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Posted 22 February 2013 - 05:49 PM

Spoiler for 'tieing

Sure. There are an infinite number of tie points.
Do you want a general equation?
Do you want the tie point for max or min?
Something other?

A simple range of values would suffice so that i know the potential roaming of my dog.

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