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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

28 replies to this topic

### #11 k-man

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Posted 22 February 2013 - 06:22 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.

Bonanova provided the range in his first post. I came up with the same numbers too. Do you have a different answer?

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### #12 CaptainEd

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Posted 22 February 2013 - 07:28 PM

Spoiler for if this is a trick question

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Posted 22 February 2013 - 08:00 PM

Spoiler for if this is a trick question

I would argue that this question is a tricky question not a trick question. Too find the Range of yard for the dog you must consider ALL possibilities but you guys have only considered the house to be rectangular.
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### #14 bonanova

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Posted 23 February 2013 - 10:01 AM

Spoiler for if this is a trick question

I would argue that this question is a tricky question not a trick question. Too find the Range of yard for the dog you must consider ALL possibilities but you guys have only considered the house to be rectangular.

Yes I did make that assumption. Since it's late at night and my eyes are drooping, I'm sticking with the assumption.

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Vidi vici veni.

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Posted 23 March 2013 - 09:32 AM

What would the area be if the dimensions referred to a different quadrilateral?  Like a parallelogram maybe.

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### #16 Prime

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Posted 23 March 2013 - 10:45 AM

Spoiler for clarification

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Past prime, actually.

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Posted 25 March 2013 - 02:26 AM

thank you for clarifying.  I am from the Ukraine so we are practically brothers.

Spoiler for clarification

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### #18 bhramarraj

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Posted 25 March 2013 - 10:56 AM

Spoiler for How much yard...?

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### #19 bonanova

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Posted 25 March 2013 - 10:56 PM   Best Answer

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

• 0

Vidi vici veni.

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Posted 22 April 2013 - 04:24 PM

This solution is quite similar

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