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Tiles 1

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

 

 

 

This is a pattern composed of several tiles.

Calculate the number of rectangles (attention, not squares) in this figure, which can be created by connecting 2 tiles.

 

 

We found 3 rectangles made up of two tiles.

Instructions:

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

Example

How many rectangles (not squares) are there?


Numbers of tiles / Numbers of rectangles:

2
3
4
5
6
 
 
 
 
 

 

Numbers of tiles / Numbers of rectangles:

7
8
9
10
11
 
 
 
 
 

Solution

How many rectangles (not squares) are there?




Numbers of tiles / Numbers of rectangles:

2
3
4
5
6
7
4
5
0
0

 

Numbers of tiles / Numbers of rectangles:

7
8
9
10
11
0
1
0
0
0

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