An amateur geometrician draws a straight line of length 16 cm. Using this line as a diagonal; he constructs a square by drawing four more lines. Again, using the side of the square as a diagonal he draws another square. He continues in this manner. He would stop drawing squares once the area of the square becomes less than one-thousandth of the area of the first square.Based on the information given below and answer the following questions.Question: How many lines would he draw?

1) 40
2) 41
3) 45
4) 47
5) None of these