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  • M MoustafaS

    Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

      d
    
      • -|- - -
        | |
        | |
        | |
        | |
      • -|- - -
        x

    About : Islam
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    Nish Nishant
    wrote on last edited by
    #7

    LongHC wrote:

    Q : What is the area that the dog can move in ?

    What's the area of the house (the actual building within the fence)? Without knowing that, you cannot calculate the area the dog can walk in. Oops - sorry. I thought the dog was tied inside the fence.

    Regards, Nish


    Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
    My latest book : C++/CLI in Action / Amazon.com link

    M 1 Reply Last reply
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    • R Rama Krishna Vavilala

      :laugh::laugh::laugh: Now you are giving Quartz a taste of his own medicine. BTW: Is the answer: 95.66

      M Offline
      M Offline
      MoustafaS
      wrote on last edited by
      #8

      Rama Krishna Vavilala wrote:

      BTW: Is the answer: 95.66

      Wrong :->

      Rama Krishna Vavilala wrote:

      Now you are giving Quartz a taste of his own medicine.

      It seems not only he will taste it.:-O


      About : Islam
      About : Me

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      • N Nish Nishant

        LongHC wrote:

        Q : What is the area that the dog can move in ?

        What's the area of the house (the actual building within the fence)? Without knowing that, you cannot calculate the area the dog can walk in. Oops - sorry. I thought the dog was tied inside the fence.

        Regards, Nish


        Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
        My latest book : C++/CLI in Action / Amazon.com link

        M Offline
        M Offline
        MoustafaS
        wrote on last edited by
        #9

        Nishant Sivakumar wrote:

        What's the area of the house (the actual building within the fence)?

        It is written in the puzzle.

        Nishant Sivakumar wrote:

        Without knowing that, you cannot calculate the area the dog can walk in.

        Remember it can't go through it, it will only stick around the wall.


        About : Islam
        About : Me

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        • M MoustafaS

          Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

            d
          
            • -|- - -
              | |
              | |
              | |
              | |
            • -|- - -
              x

          About : Islam
          About : Me

          A Offline
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          Andy Brummer
          wrote on last edited by
          #10

          The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


          Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

          N M 2 Replies Last reply
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          • M MoustafaS

            Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

              d
            
              • -|- - -
                | |
                | |
                | |
                | |
              • -|- - -
                x

            About : Islam
            About : Me

            N Offline
            N Offline
            Nish Nishant
            wrote on last edited by
            #11

            Total area dog can walk in = (Pi * 20 * 20)/2 + (Pi * 15 * 15)/2 + (Pi * 5 * 5)/2 = Pi/2 * (400 + 225 + 25) = Pi * 325 = approx 1020.5

            Regards, Nish


            Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
            My latest book : C++/CLI in Action / Amazon.com link

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            • M MoustafaS

              Nishant Sivakumar wrote:

              What's the area of the house (the actual building within the fence)?

              It is written in the puzzle.

              Nishant Sivakumar wrote:

              Without knowing that, you cannot calculate the area the dog can walk in.

              Remember it can't go through it, it will only stick around the wall.


              About : Islam
              About : Me

              N Offline
              N Offline
              Nish Nishant
              wrote on last edited by
              #12

              LongHC wrote:

              Remember it can't go through it, it will only stick around the wall.

              Sorry, initially I thought the dog was inside the fence.

              Regards, Nish


              Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
              My latest book : C++/CLI in Action / Amazon.com link

              1 Reply Last reply
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              • M MoustafaS

                Rama Krishna Vavilala wrote:

                BTW: Is the answer: 95.66

                Wrong :->

                Rama Krishna Vavilala wrote:

                Now you are giving Quartz a taste of his own medicine.

                It seems not only he will taste it.:-O


                About : Islam
                About : Me

                R Offline
                R Offline
                Rama Krishna Vavilala
                wrote on last edited by
                #13

                Assuming that the dog cannot cross the fence. The dog will walk in an area like the following: dog.png (1.1 Kb) The area = 2 * area of rectangles + Area of the 1/6 the circle = 2 * 0.5 * 5 * sqrt(75) + 1/6 * pi * 100 Where did I go wrong?

                M 1 Reply Last reply
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                • A Andy Brummer

                  The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


                  Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

                  M Offline
                  M Offline
                  MoustafaS
                  wrote on last edited by
                  #14

                  Very nice :laugh:

                  Andy Brummer wrote:

                  god

                  :wtf: DOG please, DOG.


                  About : Islam
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                  • A Andy Brummer

                    The length of the leash is 20 m. So the area is the sum of 3 half circles of radius 20m, 15m and 5m. Think about how the leash wraps around the house as the god walks around it.


                    Using the GridView is like trying to explain to someone else how to move a third person's hands in order to tie your shoelaces for you. -Chris Maunder

                    N Offline
                    N Offline
                    Nish Nishant
                    wrote on last edited by
                    #15

                    Andy Brummer wrote:

                    Think about how the leash wraps around the house as the god walks around it.

                    SOAPBOX!!! :rolleyes:

                    Regards, Nish


                    Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                    My latest book : C++/CLI in Action / Amazon.com link

                    1 Reply Last reply
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                    • M MoustafaS

                      Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                        d
                      
                        • -|- - -
                          | |
                          | |
                          | |
                          | |
                        • -|- - -
                          x

                      About : Islam
                      About : Me

                      T Offline
                      T Offline
                      Tarakeshwar Reddy
                      wrote on last edited by
                      #16

                      1139.271 1021.42771 Forgot to /2 for pi*5*5

                      M 1 Reply Last reply
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                      • M MoustafaS

                        Puzzle of the day. A fence of a house is 10m length (square) At point d a dog is tied, it can't go inside the house, when it moves along the sides it reaches the point x (max), Where the point x, and d are a midpoints of there sides. Q : What is the area that the dog can move in ?

                          d
                        
                          • -|- - -
                            | |
                            | |
                            | |
                            | |
                          • -|- - -
                            x

                        About : Islam
                        About : Me

                        M Offline
                        M Offline
                        MoustafaS
                        wrote on last edited by
                        #17

                        Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm


                        About : Islam
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                        • M MoustafaS

                          :laugh: Taking your word, "The most obvious solutions are not right". Also I put this puzzle specially for you.


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                          Raj Lal
                          wrote on last edited by
                          #18

                          oh i am flattered :) i should have given more time to the question btw good one

                          Omit Needless Words - Strunk, William, Jr.


                          Vista? Cryptography Next Generation (CNG) here

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                          • R Raj Lal

                            oh i am flattered :) i should have given more time to the question btw good one

                            Omit Needless Words - Strunk, William, Jr.


                            Vista? Cryptography Next Generation (CNG) here

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                            MoustafaS
                            wrote on last edited by
                            #19

                            Nice one in fact, what about your new puzzles, do you have ?:rolleyes:


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                            • M MoustafaS

                              Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm


                              About : Islam
                              About : Me

                              N Offline
                              N Offline
                              Nish Nishant
                              wrote on last edited by
                              #20

                              LongHC wrote:

                              Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm

                              :jig:

                              Regards, Nish


                              Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
                              My latest book : C++/CLI in Action / Amazon.com link

                              1 Reply Last reply
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                              • M MoustafaS

                                Nice one in fact, what about your new puzzles, do you have ?:rolleyes:


                                About : Islam
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                                Raj Lal
                                wrote on last edited by
                                #21

                                Did you see the last one here[^]

                                Omit Needless Words - Strunk, William, Jr.


                                Vista? Cryptography Next Generation (CNG) here

                                M 1 Reply Last reply
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                                • R Rama Krishna Vavilala

                                  Assuming that the dog cannot cross the fence. The dog will walk in an area like the following: dog.png (1.1 Kb) The area = 2 * area of rectangles + Area of the 1/6 the circle = 2 * 0.5 * 5 * sqrt(75) + 1/6 * pi * 100 Where did I go wrong?

                                  M Offline
                                  M Offline
                                  MoustafaS
                                  wrote on last edited by
                                  #22

                                  Rama Krishna Vavilala wrote:

                                  The dog will walk in an area like the following:

                                  It is not like this, in fact it will move in a circles (Quarters) with radii 20, 15, and 5, then adding them and multiplying by 2 (Because it can go from the 2 sides) will give the solution, which is 325*PIm as Andy and Nish said.


                                  About : Islam
                                  About : Me

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                                  • T Tarakeshwar Reddy

                                    1139.271 1021.42771 Forgot to /2 for pi*5*5

                                    M Offline
                                    M Offline
                                    MoustafaS
                                    wrote on last edited by
                                    #23

                                    Right;)


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                                    • M MoustafaS

                                      Rama Krishna Vavilala wrote:

                                      The dog will walk in an area like the following:

                                      It is not like this, in fact it will move in a circles (Quarters) with radii 20, 15, and 5, then adding them and multiplying by 2 (Because it can go from the 2 sides) will give the solution, which is 325*PIm as Andy and Nish said.


                                      About : Islam
                                      About : Me

                                      R Offline
                                      R Offline
                                      Rama Krishna Vavilala
                                      wrote on last edited by
                                      #24

                                      Oh Ok! I also thought that the dog was inside the fence.:doh:

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                                      • M MoustafaS

                                        Andy Brummer and Nishant Sivakumar got it right. it's 325*PIm


                                        About : Islam
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                                        Vikram A Punathambekar
                                        wrote on last edited by
                                        #25

                                        LongHC wrote:

                                        A fence of a house is 10m length (square)

                                        If 10m is the length of the fence, the side of the square is only 2.5m. PI * 325 is ridiculously large. Or did you mean one side of the square is 10m?

                                        Cheers, Vıkram.


                                        Déjà moo - The feeling that you've seen this bull before. Join the CP group at NationStates. Password: byalmightybob

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                                        • R Raj Lal

                                          Did you see the last one here[^]

                                          Omit Needless Words - Strunk, William, Jr.


                                          Vista? Cryptography Next Generation (CNG) here

                                          M Offline
                                          M Offline
                                          MoustafaS
                                          wrote on last edited by
                                          #26

                                          Avery very nice one. I like these things, please come up now with one like it if you have:cool::rose:


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