Is there an easy way to work out the sequence of path lengths in paper pool, without having to draw out the grid and tracing the path lengths for tables with dimensions of 9 x 11, 45 x 17, 22 x 4, e.t.c...
2007-03-23 03:58:36 · 1 answers · asked by Mark 1 in Science & Mathematics ➔ Mathematics
eg. the distance of the total distance of the path is 12...and the path sequence will be 4,2,2,4
2007-03-25 03:43:08 · update #1
I didn't know what paper pool was before, but now...
The number of diagonals in the path will equal the least common multiple of the values of the length and width.
If length = 4 and width = 2, LCM = 4, so only 4 diagonals will need to be travelled.
If length = 5 and width = 3, LCM = 15, so 15 diagonals.
If length = 6 and width = 4, LCM = 12, so 12 diagonals
If length = 16 and width = 4, LCM = 16, so 16 diagonals
If length = 17 and width = 4, LCM = 68..... etc.
Is this what you're asking?
2007-03-23 04:33:20 · answer #1 · answered by MamaMia © 7 · 0⤊ 0⤋