A building has an area of 3,350 square feet and a roof slope of 3 in 12. How many bundles of shingles are REQUIRED to roof the building?

To determine the number of bundles of shingles required to roof the building, we first need to calculate the area of the roof based on the slope and the building's area. A roof slope of 3 in 12 means that for every 12 horizontal inches, the roof rises 3 inches. This is often referred to as a 3:12 pitch.

To start, we can calculate the roof's rise over run. The hypotenuse of the roof can be found using the Pythagorean theorem. For each horizontal foot (12 inches), the vertical rise is 0.25 feet (3 inches). Thus, the length of the slope can be calculated as follows:

1. Calculate the rise:

• Rise = 3 inches = 0.25 feet.

2. Calculate the run:

• Run = 12 inches = 1 foot.

3. The hypotenuse for each 1-foot horizontal distance is:

• Hypotenuse = √(1^2 + 0.25^2) = √(1 + 0.0625) = √1.0625 ≈ 1.0304 feet.

Now, we can find the effective roof area using the building's area