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Replacing Tiles


Best Answer witzar, 12 May 2013 - 12:02 AM



 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

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#1 BMAD

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Posted 08 May 2013 - 04:15 PM

A rectangular floor is composed of whole square tiles. A diagonal line is drawn (corner to corner) and ruins some of the tiles.
(on a 2 x 5 floor, 6 tiles are ruined, on a 2 x 4, only 4 are ruined.)
 

 

2by5.gif2by4.gif

 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?
c) Generalize to an m by n floor.

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#2 bonanova

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Posted 08 May 2013 - 04:44 PM

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#3 witzar

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Posted 08 May 2013 - 04:48 PM

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#4 BMAD

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Posted 11 May 2013 - 07:14 PM

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

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#5 bonanova

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Posted 11 May 2013 - 07:39 PM

 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

 

Spoiler for looks like


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

#6 BMAD

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Posted 11 May 2013 - 07:45 PM

 

 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

 

Spoiler for looks like

 

6 x 4 should be 2

81 x 63 should be 135


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#7 bonanova

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Posted 11 May 2013 - 07:55 PM

 

 

 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

 

Spoiler for looks like

 

6 x 4 should be 2

81 x 63 should be 135

 

 

6x4  ruins at least the two corner tiles. Nothing else?


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

#8 BMAD

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Posted 11 May 2013 - 09:30 PM

 

 

 

 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

 

Spoiler for looks like

 

6 x 4 should be 2

81 x 63 should be 135

 

 

6x4  ruins at least the two corner tiles. Nothing else?

 

i missed typed 6x4 ruins 8


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#9 witzar

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Posted 12 May 2013 - 12:02 AM   Best Answer



 

a) How many tiles are ruined on a 4 by 6 floor?
b) How about a 63 by 81 floor?

 

Spoiler for


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