How many bundles of shingles are required to cover a building with an area of 3,350 square feet and a 3 in 12 roof slope?

To determine the number of bundles of shingles needed to cover a building with a roof area influenced by the slope, it's essential to first calculate the effective roof area based on the slope of the roof.

The area of the building is 3,350 square feet. However, because the roof has a slope of 3 in 12, this means it rises 3 inches for every 12 inches of horizontal run. The slope increases the actual surface area that needs to be covered by shingles compared to the flat area.

To find the roof area, you can use the slope to adjust the flat area. The formula for the slope factor, in this case, can be calculated using the Pythagorean theorem or slope ratios. The slope factor is derived as follows:

1. Calculate the run and rise:

• Run = 12 (as it’s a 12-inch horizontal run)

• Rise = 3 (as specified)

2. Compute the hypotenuse, which represents the length of the roof:

• Hypotenuse (slope length) = √(Run² + Rise²) = √(12² + 3²) = √(144 + 9) = √153 ≈ 12.