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The baby brother of: Cutting a square into seven rectangles

Tile a square with five rectangles. Select the lengths of the edges of the rectangles from the set $1$ through $10$, with no length repeated.

Find all possible tilings.

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2 Answers 2

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Here are the solutions

In each example, the dimensions of each rectangle are listed vertical side first.

Square has side length $13$ enter image description here
Square has side length $13$ enter image description here
Square has side length $11$ enter image description here
Square has side length $11$ enter image description here

I think that, up to rotations and reflections, these are the only solutions.

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  • $\begingroup$ Yup that's all of them. $\endgroup$
    – theonetruepath
    Commented Apr 25, 2018 at 9:15
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This computer program produces the same answer as the one above. It is written in tinyC, a C-like language.

tile.html

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