Geometria536

dodecagono 12 lati;

Area = Perimetro * apotema / 2;

Perimetro = 96 dm;

Lato = 96/12 = 8 dm;

apotema / Lato = N; (numero fisso del dodecagono = 1,866).

apotema:

a = N * Lato = 1,866 * 8 = 14,928 dm;

Area = 96 * 14,928 / 2 = 716,544 dm^2.

Ciao  @rosmatema

apotema a /lato L = N = 1,8660 

perimetro 2p = 96 cm

lato L = 2p/12 = 96/12 = 8,0 cm 

apotema a = L*N = 8*1,8660

area = 2p/2*L*1,8660 = 48*8*1,8660 = 716,544 cm^2

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Dodecagono:

lato $l= \dfrac{2p}{n°lati} = \dfrac{96}{12} = 8\,dm;$

area $A= \dfrac{l^2×n°fisso×n°lati}{2}=\dfrac{8^2×1,866×\cancel{12}^6}{\cancel2_1}= 64×1,866×6 = 716,544\,dm^2.$