Squares in Pentagons

The following pictures show n squares packed inside a unit pentagon, so that the total sum of the sides of the squares is as large as possible.

1.
           2.
           3.
Σ s = cos(18°)/cos(27°) = 1.06740+
Trivial.
  		Σ s = 1.39526+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 1.79081+
Found by Jonathan Viquerat
in June 2026.

4.
           5.
           6.
Σ s = 2.20338+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.56933+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 2.86825+
Found by Jonathan Viquerat
in June 2026.

7.
           8.
           9.
Σ s = 3.07742+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 3.31577+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 3.52833+
Found by Jonathan Viquerat
in June 2026.

10.
           11.
           12.
Σ s = 3.74075+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 4.00392+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 4.17341+
Found by Jonathan Viquerat
in June 2026.

13.
           14.
           15.
Σ s = 4.35536+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 4.56549+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 4.72963+
Found by Jonathan Viquerat
in June 2026.

16.
           17.
           18.
Σ s = 4.89463+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 5.03511+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 5.19478+
Found by Jonathan Viquerat
in June 2026.

19.
           20.
Σ s = 5.33987+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 5.49375+
Found by Jonathan Viquerat
in June 2026.