perplexus.info :: Shapes : Cut chessboard

Cut chessboard (Posted on 2003-09-26)

I cut myself a rectangle out of a chessboard. (All cuts were along the square lines, so the rectangle has integer sides.)

Were I to tell you either its area, or its perimeter, or the length of its diagonal, you wouldn't be able to determine the dimensions of the rectangle.

What's its size?

Submitted by Federico Kereki

Rating: 4.0000 (11 votes)

Solution: (Hide)

It must be 1x8. 2x4 has the same area; 2x7, 3x6 and 4x5 have the same perimeter, and 4x7 has the same diagonal -- all other rectangles have either a distinctive area, perimeter or diagonal.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-03-17 11:12:59
re: the Solution	e.g.	2004-04-28 08:04:48
General Comment	Brian Wainscott	2003-09-26 11:09:57
re: the Solution	Bruce	2003-09-26 10:06:52
the Solution	Charlie	2003-09-26 10:03:32
'No Subject' should be 'Solution'	Bruce	2003-09-26 09:58:41
No Subject	Bruce	2003-09-26 09:23:31

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