5
$\begingroup$

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.

$\endgroup$

2 Answers 2

5
$\begingroup$

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.

$\endgroup$
1
  • $\begingroup$ Yup that's all of them. $\endgroup$ Commented Apr 25, 2018 at 9:15
1
$\begingroup$

This computer program produces the same answer as the one above. It is written in tinyC, a C-like language.

tile.html

$\endgroup$
0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.