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Tiles 2

The following are examples of tiles of various shapes and sizes:

 

 

 

This is a pattern composed of several tiles.

Calculate the number of squares and rectangles in this figure, which can be created by connecting 2 tiles.

 

 

 

We found 4 units (squares and rectangles) made up of two tiles.

Instructions:

Calculate the number of rectangular quadrangles (rectangles and squares as well) that can only be created by two tiles, only three tiles, only four tiles, ... just eleven tiles.
Write the number of rectangular quadrangles for each amount of tiles 2, 3, 4, ... 11. If you have not found any rectangular quadrangle for particular number of tiles, write zero.

Example

How many rectangles and squares are there?


Numbers of tiles / Numbers of squares and rectangles:

2
3
4
5
6
 
 
 
 
 

 

Numbers of tiles / Numbers of squares and rectangles:

7
8
9
10
11
 
 
 
 
 

Solution

How many rectangles and squares are there?




Numbers of tiles / Numbers of squares and rectangles:

2
3
4
5
6
10
4
5
0
2

 

Numbers of tiles / Numbers of squares and rectangles:

7
8
9
10
11
0
1
0
0
0

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