To determine how many squares of 16"x5/2" wooden shingles will be needed to cover a gable roof with both sides measuring [tex]\(15 \text{ feet} \times 36 \text{ feet}\)[/tex], we need to follow these steps:
1. Calculate the total area of the roof:
- Given each side of the gable roof measures [tex]\(15 \text{ feet} \times 36 \text{ feet}\)[/tex].
- Since both sides are identical, the total area of the roof is:
[tex]\[
2 \times (15 \text{ feet} \times 36 \text{ feet}) = 2 \times 540 \text{ sq ft} = 1080 \text{ sq ft}
\][/tex]
2. Determine the coverage of one square of shingles:
- From the provided shingle coverage table, for 16"x5/2" wooden shingles with a weather exposure of 5 inches, one square covers 100 square feet.
3. Calculate the number of squares needed:
- The total area of the roof is 1080 sq ft.
- If each square of shingles covers 100 sq ft, the number of squares required is:
[tex]\[
\frac{1080 \text{ sq ft}}{100 \text{ sq ft/square}} = 10.8 \text{ squares}
\][/tex]
- Since only whole squares can be used, we round up to the next whole number:
[tex]\[
\lceil 10.8 \rceil = 11 \text{ squares}
\][/tex]
Therefore, to cover the gable roof, you would need 11 squares of 16"x5/2" wooden shingles.
So, the best answer is:
B. 11
