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 = 4.73109+
Found by Pedro Martins
in October 2026.

16.
           17.
           18.
Σ s = 4.89463+
Found by Jonathan Viquerat
in June 2026. 		Σ s = 5.03536+
Found by Pedro Martins
in October 2026. 		Σ s = 5.19698+
Found by Joost de Winter
in October 2026.

19.
           20.
           21.
Σ s = 5.34959+
Found by Joost de Winter
in October 2026. 		Σ s = 5.50807+
Found by Pedro Martins
in October 2026. 		Σ s = 5.65838+
Found by Joost de Winter
in October 2026.

22.
           23.
           24.
Σ s = 5.79874+
Found by Pedro Martins
in October 2026. 		Σ s = 5.94778+
Found by Pedro Martins
in October 2026. 		Σ s = 6.09678+
Found by Pedro Martins
in October 2026.

25.
           26.
           27.
Σ s = 6.21868+
Found by Pedro Martins
in October 2026. 		Σ s = 6.37341+
Found by Pedro Martins
in October 2026. 		Σ s = 6.47887+
Found by Pedro Martins
in October 2026.

28.
           29.
           30.
Σ s = 6.60211+
Found by Pedro Martins
in October 2026. 		Σ s = 6.71853+
Found by Pedro Martins
in October 2026. 		Σ s = 6.83513+
Found by Pedro Martins
in October 2026.

31.
           32.
           33.
Σ s = 6.95721+
Found by Pedro Martins
in October 2026. 		Σ s = 7.07159+
Found by Pedro Martins
in October 2026. 		Σ s = 7.19079+
Found by Pedro Martins
in October 2026.

34.
           35.
           36.
Σ s = 7.30985+
Found by Pedro Martins
in October 2026. 		Σ s = 7.42153+
Found by Pedro Martins
in October 2026. 		Σ s = 7.53121+
Found by Pedro Martins
in October 2026.

37.
           38.
           39.
Σ s = 7.63824+
Found by Pedro Martins
in October 2026. 		Σ s = 7.75495+
Found by Pedro Martins
in October 2026. 		Σ s = 7.86272+
Found by Pedro Martins
in October 2026.

40.
           41.
           42.
Σ s = 7.97536+
Found by Pedro Martins
in October 2026. 		Σ s = 8.07341+
Found by Pedro Martins
in October 2026. 		Σ s = 8.17395+
Found by Pedro Martins
in October 2026.

43.
           44.
           45.
Σ s = 8.27286+
Found by Pedro Martins
in October 2026. 		Σ s = 8.37135+
Found by Pedro Martins
in October 2026. 		Σ s = 8.46541+
Found by Pedro Martins
in October 2026.

46.
           47.
           48.
Σ s = 8.56616+
Found by Pedro Martins
in October 2026. 		Σ s = 8.66093+
Found by Pedro Martins
in October 2026. 		Σ s = 8.75546+
Found by Pedro Martins
in October 2026.

49.
           50.
Σ s = 8.84770+
Found by Pedro Martins
in October 2026. 		Σ s = 8.94098+
Found by Pedro Martins
in October 2026.