Solution:
8-sided shape is called an octagon
The city  set up an octagonal  barrier around the park
Each side of the barrier  was 145 2/3 yards long
[tex]145\frac{2}{3}\ yards = \frac{437}{3}\ yards[/tex]
Convert yards to feet
1 yard = 3 foot
Therefore,
[tex]\frac{437}{3}\ yards = \frac{437}{3}\ \times 3= 437\ foot[/tex]
How many feet of fencing  were used to create the  barrier
1 side = 437 foot
8 sides = 8 x 437 = 3496 feet
Thus 3496 feet of fencing were used to create the barrier