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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
11 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
11 years ago

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

Adhiraj Mandal
32 Points
11 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
11 years ago

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

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