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?

See The Solution Submitted by Federico Kereki

Rating: 4.0000 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

Comment 7 of 7 |

It must be 1x8.

2x4 has the same area;

2x7, 3x6 and 4x5 have the same perimeter,

4x7 has the same diagonal .

All other rectangles have either a distinctive area, perimeter or diagonal.

Edited on March 17, 2023, 11:55 pm

Posted by K Sengupta on 2023-03-17 11:12:59

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