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Let ABCD be a rectangle with dimensions AB=20 and BC=12 and r be a positive integer.The rectangle is divided into a grid of 20*12 unit squares.The following moves are permitted on the board:one can move from one square to another if the distance between the centers of the two squares is vr.The task is to find a sequence of moves leading with the square with A as a vertex to square with B as a vertex. a.Prove that the task can not be done if r is divisible by 2 or 3 b.Prove that the task is possible when r=73 c.Is the task possible when r=97?

Let ABCD be a rectangle with dimensions AB=20 and BC=12 and r be a positive integer.The rectangle is divided into a grid of 20*12 unit squares.The following moves are permitted on the board:one can move from one square to another if the distance between the centers of the two squares is vr.The task is to find a sequence of moves leading with the square with A as a vertex to square with B as a vertex.

a.Prove that the task can not be done if r is divisible by 2 or 3

b.Prove that the task is possible when r=73

c.Is the task possible when r=97?

Grade:10

4 Answers

Akash Kumar Dutta
98 Points
8 years ago

Dear Adhiraj,
you mentioned the distance between the centres of squares to be vr...what is v

Please mention it....is it an integer,rational or real..???

Regards.

Adhiraj Mandal
32 Points
8 years ago

Actually that is not v,that is square root. The distance has to be square root of r.

Adhiraj Mandal
32 Points
8 years ago

I am sorry.That lloks like v,but that is actually square root symbol.The distance is root over r.Embarassed  ADHIRAJ MANDAL 

Abhishekh kumar sharma
34 Points
7 years ago

I am sorry.That lloks like v,but that is actually square root symbol.

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