Answer:
You will need 380 feet of fencing
Explanation:
The perimeter of a rectangle is :
P=2L+2W
L: Length of the rectangle
W: Width of the rectangle
For the front yard:

The front yard has a perimeter of 220 feet
For the back yard

The back yard has a perimeter of 160 feet
The necessary fencing is the sum of the two perimeters, so you will need 220+160 = 380 feet