AC = 9.7 cm
sin c = AB
BC
0.55 = AB
9.7
AB = 5.3 cm
BC² = AC²+AB²
9.7² = AC²+5.3²
94.04 = 28.09 + AC²
AC² = 94.09 - 28.09 = 66
AC = 8.1 cm
Sin a = CD
AC
0.43 = CD
8.1
CD = 3.4 cm
cos a = AD
AC
0.89 = AD
8.1
AD = 7.2 cm
P = AB+ BC +CD+AD
= 5.3 + 9.7+3.4+7.2 = 25.6 cm