Square Route Investigation

Investigation (1)

Investigate the minimum number of matches required on rectangular or square grids. For example

Is there a relationship between the number of squares and the minimum number of matches needed?

Investigation (2)

Now investigate the maximum number of matches that can be placed on 2 x n grids. For example;

2 x 2 2 x 3 2 x 4

Is there a relationship between the length of the grid and the number of matches?

Notes on Investigation