In the roofing industry, the term "Square" refers to a 100-square-foot area (10′ x 10′). Unlike standard flooring, roofing calculations must account for the slope or pitch of the roof, which increases the actual surface area compared to the flat footprint of the house.
Understanding the Math
To calculate your roofing needs accurately, we use the following formula:
Base Area: Length × Width
Pitch Multiplier: We calculate the square root of ((Pitch/12)² + 1). For example, a 4/12 pitch has a multiplier of approximately 1.054.
Actual Area: Base Area × Pitch Multiplier
Squares: Actual Area ÷ 100
Waste and Bundles
A standard 10% to 15% waste factor is added to account for hip/valley cuts and ridge caps. Most standard asphalt shingles are sold in bundles, where 3 bundles typically cover 1 roofing square (33.3 sq ft per bundle).
Example Calculation
If you have a ranch-style home measuring 40ft by 30ft with a standard 4/12 pitch:
Footprint = 1,200 sq ft.
Adjusted for 4/12 pitch (x 1.054) = 1,265 sq ft.
Add 15% waste = 1,455 sq ft.
Total = 14.55 Squares (or 44 bundles).
function calculateRoofing() {
var length = parseFloat(document.getElementById('roofLength').value);
var width = parseFloat(document.getElementById('roofWidth').value);
var pitch = parseFloat(document.getElementById('roofPitch').value);
var waste = parseFloat(document.getElementById('wasteFactor').value);
if (isNaN(length) || isNaN(width) || length <= 0 || width <= 0) {
alert("Please enter valid positive numbers for length and width.");
return;
}
if (isNaN(waste)) { waste = 0; }
// Pitch multiplier logic: sqrt((rise/run)^2 + 1)
var riseOverRun = pitch / 12;
var multiplier = Math.sqrt(Math.pow(riseOverRun, 2) + 1);
// Base surface area
var baseArea = length * width;
var actualArea = baseArea * multiplier;
// Total with waste
var areaWithWaste = actualArea * (1 + (waste / 100));
// Calculate squares (1 square = 100 sq ft)
var squares = areaWithWaste / 100;
// Calculate bundles (3 bundles per square)
var bundles = Math.ceil(squares * 3);
// Update UI
document.getElementById('totalArea').innerText = Math.round(actualArea).toLocaleString() + " sq ft";
document.getElementById('totalSquares').innerText = squares.toFixed(2);
document.getElementById('totalBundles').innerText = bundles + " bundles";
document.getElementById('totalWithWaste').innerText = Math.ceil(squares).toString() + " Sq (Rounded)";
document.getElementById('roofResults').style.display = 'block';
}