3. If we divide a square into 4 equal squares, we will get 9 points as shown in the figure. If we divide it into 9 equal squares, we get 16 points. How many such points will there be if the square is divided into 3600 equal squares?
![](https://cdn.mathpix.com/cropped/2024_06_03_acca65fe0c81619e2622g-05.jpg?height=270&width=580&top_left_y=2006&top_left_x=378)
3. A large square divided into 4 smaller equal squares has these squares in 2 rows and 2 columns, so the number of points is $(2+1) \cdot(2+1)=9$. 2 POINTS A large square divided into 9 smaller equal squares has these squares in 3 rows and 3 columns, so the number of points is $(3+1) \cdot(3+1)=16$.

2 POINTS Then a large square divided into 3600 smaller squares has these squares in 60 rows and 60 columns, so the number of points is $(60+1) \cdot(60+1)=3721$.

Note: A correct answer without explanation is worth 2 points.