Answer:
The fence is 13 yards long.
Step-by-step explanation:
Area of square = 
Let x be the side of square playground
Area of square playground = 
A square playground has an area of 169 square yards.
So, 


There is a fence along one side of the playground.
So, Length of fence along one side = Length of side = 13 yards
Hence The fence is 13 yards long.