Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
* * * * * 1 votes

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


  • Please log in to reply
28 replies to this topic

#1 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1696 posts
  • Gender:Female

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?


  • 0

#2 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5885 posts
  • Gender:Male
  • Location:New York

Posted 22 February 2013 - 07:01 AM

Spoiler for Depends.


  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#3 Debasis

Debasis

    Junior Member

  • Members
  • PipPip
  • 35 posts

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.

  • 0

#4 Debasis

Debasis

    Junior Member

  • Members
  • PipPip
  • 35 posts

Posted 22 February 2013 - 12:52 PM

Spoiler for what i think


  • 0

#5 Debasis

Debasis

    Junior Member

  • Members
  • PipPip
  • 35 posts

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?


  • 0

#6 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1696 posts
  • Gender:Female

Posted 22 February 2013 - 01:31 PM

don't take for granted where The dog is tied
  • 0

#7 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1696 posts
  • Gender:Female

Posted 22 February 2013 - 01:55 PM

Spoiler for 'tieing

  • 0

#8 k-man

k-man

    Advanced Member

  • Members
  • PipPipPip
  • 472 posts
  • Gender:Male

Posted 22 February 2013 - 03:39 PM

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

  • 0

#9 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5885 posts
  • Gender:Male
  • Location:New York

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?
  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#10 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1696 posts
  • Gender:Female

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.


  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users