Answer:
You'll need to set up 2 trigonometric equations:
cosine 30 degrees = BC / 14
0.86603 = BC / 14
BC = 12.12442
sine 30 degrees = DC / 14
.5 = DC / 14
DC = 7
Perimeter = 12.12442 + 7 + 12.12442 + 7
= 38.24884 = 38.2 (to nearest tenth)
Explanation: