Question 20
The diagonal of this $5\times3$ rectangle passes through 7 squares.

The diagonal of this $6\times4$ rectangle passes through 8 squares.

What is the number of squares passed through by the diagonal of a $360\times2009$ rectangle?

The diagonal of this $6\times4$ rectangle passes through 8 squares.

What is the number of squares passed through by the diagonal of a $360\times2009$ rectangle?