Imagine a 24-by-24 chessboard. Now suppose you started counting all of the "sub-squares" on that board, squares of lengths 1 through 24 found by tracing the sides of the squares of the big board. To remind you how many sub-squares you've counted, you make a pile of little squares of all equal size (which you just happen to have lying around), one little square for each sub-square.
It turns out that these little squares can be put together, edge to edge, to form an even bigger chessboard.
What is the length of each side of the giant chessboard?
where n=the length of the sub-square
n = {1,2,3...24)
it is the sum of (25-n)^2 for all of n.
=4900
the square root of 4900 is 70, and the board is then 70x70
|
|
Posted by Hank
on 2003-06-30 04:45:08 |
My solution
