Solution

153853

Problem / game
First name
Z and O
School
Illawarra Primary School
Country
Age
0
Email address
michael.hayen@education.tas.gov.au

For a 4 x n grid, we think the rule stands that the number of sides is 4n where n is greater than or equal to 4.

So for a 4 X 4 grid the number of sides is 16.

For a 4 x 5 grid the number of sides is 20.

For a 4 x 6 grid the number of sides is 24.

BUT:

For a 4 x 2 grid the number of sides is 4 x 2 - 4 = 4

For a 4 x3 grid the number of sides is 4 x 3 - 2 = 10 (this fits the n x 3 pattern of 3n -2)

For a 5 x n grid, we think the rule stands that the number of sides is 5n where n is greater than or equal to 4.

BUT:

For a 5 x 2 grid the number of sides is 5 x 2 - 6 = 4 (the amount we subtract for an n x 2 grid goes up by 2 each time n goes up by 1).

For a 5 x 3 the number of sides is 5 x 3 - 2 = 13 (this fits the n x 3 pattern of 3n-2).

SO:

When n is less than 4 it always follows the patterns we have described above for n equals 2 or 3.