Answer :
Final answer:
Approximately 1,208 sheets of asphalt shingles are needed to cover the roof system.
Explanation:
To calculate the number of sheets of asphalt shingles needed, we can follow these steps:
- Calculate the area covered by one sheet of shingle: 12 inches (width) x 36 inches (length) = 432 square inches.
- Convert the area to square feet: 432 square inches ÷ 144 square inches/square foot = 3 square feet.
- Calculate the total area of the roof, including waste: 3,450 square feet + (5% of 3,450 square feet) = 3,450 square feet + 172.5 square feet = 3,622.5 square feet.
- Divide the total area of the roof by the area covered by one sheet of shingle: 3,622.5 square feet ÷ 3 square feet/sheet = 1,207.5 sheets.
Therefore, approximately 1,208 sheets of asphalt shingles are needed to cover the roof system.
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