To find the total cost of the shingles needed for the roof, let's break down the problem step by step as follows:
1. Determine the area of the roof:
- Given that one side of the gable roof measures [tex]\(15' \times 36'\)[/tex].
- Both sides of the roof will have the same dimensions.
- Therefore, the total roof area will be:
[tex]\[ \text{Total roof area} = 2 \times (15' \times 36') = 2 \times 540 \text{ square feet} = 1080 \text{ square feet} \][/tex]
2. Find the shingle coverage:
- According to the given table, for [tex]\(16'' \times 5/2''\)[/tex] wooden shingles with a weather exposure of [tex]\(5''\)[/tex], the coverage is 100 square feet per square of shingles.
3. Calculate the number of squares needed:
- Divide the total roof area by the shingle coverage per square:
[tex]\[ \text{Squares needed} = \frac{1080 \text{ square feet}}{100 \text{ square feet per square}} = 10.8 \text{ squares} \][/tex]
4. Determine the cost per square:
- The cost of the shingles is [tex]\( \$95 \)[/tex] per square.
5. Calculate the total cost:
- Multiply the number of squares needed by the cost per square:
[tex]\[ \text{Total cost} = 10.8 \text{ squares} \times \$95 \text{ per square} = \$1026 \][/tex]
Therefore, the total cost of the shingles needed for the roof is \[tex]$1026.
Among the given options:
A. \$[/tex]570
B. \[tex]$950
C. \$[/tex]855
D. \[tex]$1,045
The correct answer is not listed in the provided options; however, the closest choice available is:
D. \$[/tex]1,045
