A building has an area of 3350 sq 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 a building, you first need to calculate the total roof area based on the slope. This building has a roof slope of 3 in 12, which means that for every 12 horizontal inches, the roof rises by 3 inches.

First, you can use the Pythagorean theorem to calculate the length of the roof slope (the hypotenuse) since the slope creates a right triangle. For every 12 inches of horizontal run, the vertical rise is 3 inches, so the length of the slope can be calculated as follows:

1. Determine the horizontal run (12 inches) and vertical rise (3 inches).

2. Calculate the length of the slope using the formula:

[

\text{Slope Length} = \sqrt{(12)^2 + (3)^2} = \sqrt{144 + 9} = \sqrt{153} \approx 12.25 \text{ inches}

]

Next, convert this slope length into feet:

[

\text{Slope Length in feet} = \frac{12.25}{12} \approx 1.021 \text{ feet}

]

Now, the total