Board on board panels measuring six feet tall cost around $11 to $16 while a fence measuring eight feet tall costs around $21 to $23 per panel. The total average cost for a wood fence is just over $1,000 with a low cost of around $450 and a high cost of more than $20,000.Though this range of prices might seem odd to some, homeowners need to consider the length of fencing they need. board on board fence is essentially a fence that consists of central wood posts with wood fencing panels on either side. Some privacy fences use a series of posts but only one piece of wood on one side of those posts.