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Decks, fences & roofs

Building a deck, running a fence, shingling a roof or cutting stringers.

These are counting problems rather than area problems, and they go wrong in two specific ways. The first is the fencepost problem: a 24-foot run at 8-foot spacing has three bays but four posts, because both ends get one. Dividing the run by the spacing leaves you a post short.

The second is nominal versus actual sizing. A 4x4 post measures 3.5 inches and a 2x6 deck board is 5.5 inches wide. Roofing has its own version in the pitch factor, which makes a 6/12 roof twelve per cent larger than the footprint beneath it.

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