Roof area is footprint × pitch multiplier, where the multiplier is √(1 + (rise ÷ 12)²) and 1 square = 100 ft². Enter a footprint and pitch, or a roof area directly, and get squares, shingle bundles, underlayment and cost — or work backwards from the bundles you already have to see if they're enough.
Measure the building on the ground, then apply the slope.
Rounded up, waste included · one bundle covers 33.3 ft²
1 square = 100 ft². Pitch multiplier = √(1 + (rise ÷ 12)²). Bundle and roll counts are manufacturers' nominal figures.
A roofing estimate rests on two ideas that have nothing to do with each other: the square, which is just a tidy unit of area, and the pitch multiplier, which accounts for the fact that a sloped surface is always bigger than the flat footprint underneath it.
Four steps take you from a tape measure and a pitch reading to a number a supplier can fill.
Length × width, measured on the ground at the eaves — the same way you’d measure a floor plan, not the roof surface itself.
Multiply by √(1 + (rise ÷ 12)²) for the slope. Steeper pitches climb faster: a 4/12 roof adds about 5%, a 12/12 roof adds over 41%.
Divide by 100 for squares, then add 10–15% depending on how cut-up the roof is, to cover angled cuts at hips, valleys and penetrations.
Multiply the order squares by the bundles-per-square for the chosen shingle — 3 is standard — and always round up to a whole bundle.
A 1,600 ft² footprint run through every common pitch, so you can see exactly how much of the order is footprint and how much is slope. Every figure below is computed by the calculator above, not typed in.
A 1,600 ft² footprint (say, a 40 × 40 ft ranch) at 6/12 pitch, 10% waste, 3 bundles per square.
The multiplier for every common pitch, computed from the same √(1 + (rise ÷ 12)²) formula the tool uses. Anything between these presets — a 7/12 or a 9/12 — interpolates smoothly; the custom pitch field in the calculator above computes it exactly.
| Pitch | Multiplier | Extra surface vs. footprint |
|---|---|---|
| Flat | 1 | +0% |
| 3/12 | 1.031 | +3.1% |
| 4/12 | 1.054 | +5.4% |
| 5/12 | 1.083 | +8.3% |
| 6/12 | 1.118 | +11.8% |
| 8/12 | 1.202 | +20.2% |
| 10/12 | 1.302 | +30.2% |
| 12/12 | 1.414 | +41.4% |
How far one bundle or one roll actually goes, by product type — the numbers behind every count the calculator shows.
| Product | Bundles / square | Coverage / bundle |
|---|---|---|
| 3-tab or standard architectural — the most common | 3 | 33.3 ft² |
| Heavier laminate or architectural shingles | 4 | 25 ft² |
| Luxury or designer shingles | 5 | 20 ft² |
| Underlayment — #15 felt | — | 400 ft² / roll |
| Underlayment — Synthetic | — | 1,000 ft² / roll |
The words a supplier or a quote will use without explaining, and what each one actually means for the order.
The answer to “how many squares for a 1,500 ft² house at 6/12” and every nearby variation. Figures use a 10% waste allowance and 3 bundles per square — adjust in the calculator above for a different roof or shingle.
| Footprint | 4/12 | 6/12 | 8/12 | 10/12 |
|---|---|---|---|---|
| 1,000 ft² | 10.5 sq · 35 bd | 11.2 sq · 37 bd | 12 sq · 40 bd | 13 sq · 43 bd |
| 1,200 ft² | 12.6 sq · 42 bd | 13.4 sq · 45 bd | 14.4 sq · 48 bd | 15.6 sq · 52 bd |
| 1,500 ft² | 15.8 sq · 53 bd | 16.8 sq · 56 bd | 18 sq · 60 bd | 19.5 sq · 65 bd |
| 1,800 ft² | 19 sq · 63 bd | 20.1 sq · 67 bd | 21.6 sq · 72 bd | 23.4 sq · 78 bd |
| 2,000 ft² | 21.1 sq · 70 bd | 22.4 sq · 74 bd | 24 sq · 80 bd | 26 sq · 86 bd |
| 2,200 ft² | 23.2 sq · 77 bd | 24.6 sq · 82 bd | 26.4 sq · 88 bd | 28.6 sq · 95 bd |
| 2,500 ft² | 26.4 sq · 87 bd | 28 sq · 93 bd | 30 sq · 100 bd | 32.5 sq · 108 bd |
“sq” = bare squares before waste; “bd” = bundles, waste and rounding included.
Six facts that turn a shingle order from a guess into a decision.
Six errors account for almost every short order and every roof that runs out of shingles mid-install.

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