The following are the lengths of the various sides, according to the lables in the image:
a=50
b=35
c=27
d=8
e=19
f=15
g=17
h=11
i=6
j=24
k=29
l=25
m=9
n=2
o=7
p=18
q=16
r=42
s=4
t=37
u=33
Thanks to Terry W. Ryder of San Leandro, CA and New Scientist magazine for the problem and Terry for the graphic.
This problem inspired my friend Dick Tucker to not only solve the problem but create a piece of art with it using acrylic plexiglas.