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K = 12s ---> K = 72 cm
s = K / 12 = 72 / 12 = 6 cm
Segienam beraturan ---> terdiri dari 6 segitiga sama sisi yang kongruen
Luas 1 ∆ sama sisi = 1/2 . s² . sin 60
= 1/2 . (6)² . 1/2 √3
= 36/4 . √3
= 9√3
Luas 1 segienam = 6 x L∆
= 6 x 9√3
= 54√3 cm²
Luas 3 segienam = 3 x 54√3
= 6 x 9√3
= 162√3 cm²