first of all we know the top and bottom of the trapazoid, so we just have to know the sides. we can see that it uses the pythagorean theorom for the sides. For example, the left side is the root of 5^2+12^2 so it is 13. we can subtract 5 and 14 from 27 to get 8. so we just have to calculate the pythagorean thearom with legs 12 and 8. You can then add the result to the rest, 14, 27 and 13 to get the answer. (54+4sqrt(13)))
+6 
