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A4 paper is 210mm × 297mm. So the diagram must fit in a 21cm × 29cm rectangle.

This Python program runs in 34ms.

Solution:The overall length of the church is 18 cm. The overall height of the church is 10 cm.Here’s a scale diagram of the church:

The large dashed rectangle corresponds to the A4 sheet. The dimensions are in cm.

I also found a solution in MiniZinc. If we remove the constraint that the rectangle must be bigger than the square, there are two more cases where the arithmetic otherwise works ok.