The picket formula
pickets = ⌈ (fence length + gap) ÷ (picket width + gap) ⌉
Every picket takes up its own width plus one gap. A row of n pickets has only n − 1 gaps, though, so one gap is added to the length before dividing. The result is rounded up to a whole picket. With no gap, it simplifies to fence length ÷ picket width.
The waste allowance is then added and rounded up again:
pickets to buy = ⌈ pickets × (1 + waste % ÷ 100) ⌉
Getting the spacing right
Rounding up means your pickets won’t land exactly on the end of the fence with the gap you chose. There are two fixes: trim the last picket, or shrink every gap slightly so the pickets fit exactly. The calculator gives you that exact figure:
even gap = (length − pickets × picket width) ÷ (pickets − 1)
A simple spacer block cut to the even gap makes installation quick and consistent. Check your spacing every few feet so small errors don’t add up.
Worked example
A 100 ft picket fence with 3½ in pickets and a 2½ in gap, plus 10% waste:
- Convert to inches: 100 ft = 1,200 in.
- (1,200 + 2.5) ÷ (3.5 + 2.5) = 1,202.5 ÷ 6 = 200.4 → 201 pickets.
- Waste: 201 × 1.10 = 221.1 → 222 pickets to buy.
- Even gap: (1,200 − 201 × 3.5) ÷ 200 = 496.5 ÷ 200 = 2.48 in, just under the 2½ in you planned.
The same example in metric: 30 m of fence with 9 cm pickets and 6 cm gaps needs (30 + 0.06) ÷ 0.15 = 200.4 → 201 pickets.
Measuring picket width
Use the actual width, not the nominal size. A “1×4” picket is about 3½ in wide and a “1×6” about 5½ in. Dog-ear and French-gothic tops don’t change the count. Only the face width and gap matter.