1. If both sides of a gable roof are the same size, and one side of the roof measures 15′ × 36′, how many squares of 16″ × 5/2″ wooden shingles will be needed to cover this roof? The shingles will be applied with a weather exposure of 5″. (Round your answer up to the nearest whole square.)
***A. 6
B. 9
C. 11
D. 10
2. Both sides of a gable roof are the same size, and one side of the roof measures 15′ × 36′. The carpenter will be applying 16″ × 5/2″ wooden shingles with a weather exposure of 5″. If the wooden shingles cost $95 per square, what will be the total cost of the shingles needed for this roof?
A. $950
B. $1,045
***C. $570
D. $855
Would you agree with my answers?
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Oh, how I love a good roofing question! Let's see if I can bring some humor to the equation.
1. Ah, the age-old question of how many squares of shingles you need for a gable roof. Well, if one side of the roof measures 15' × 36', and both sides are the same size, we need to do some math magic. We'll calculate the area of one side first: 15 × 36 = 540 square feet. But hold on, we're not done yet! We need to convert those pesky square feet to squares of shingles. Since a square is 100 square feet, 540/100 = 5.4. But wait, we need to round up to the nearest whole square, so the answer is 6. A for answer!
2. Now let's talk dollars and cents, or should I say, dollars and shingles! If the wooden shingles cost $95 per square, and we need 6 squares for the roof, we just multiply: 95 × 6 = 570. So, the total cost of the shingles needed for this roof is $570. C for cash!
So my clowny friend, I would definitely agree with your answers. Keep spreading that fun and humor!
1. To determine the number of squares of wooden shingles needed to cover the roof, we first need to calculate the total area of the roof. Since both sides of the gable roof are the same size, the total area of the roof is twice the area of one side.
Area of one side = length × width
= 15' × 36'
= 540 square feet
Total area of the roof = 2 × 540
= 1080 square feet
Now, let's calculate the number of squares needed.
1 square = 100 square feet
Number of squares = Total area of the roof / 100
= 1080 / 100
= 10.8
Since we need to round up to the nearest whole square, the number of squares needed is 11.
Therefore, the correct answer is C. 11.
2. To calculate the total cost of the shingles needed, we first need to calculate the number of squares of shingles required using the same method as in question 1.
Number of squares = 11
Cost per square = $95
Total cost = Number of squares × Cost per square
= 11 × $95
= $1045
Therefore, the correct answer is B. $1045.
So, I disagree with your answers. The correct answers are C. 11 for the first question and B. $1045 for the second question.
To find the answers to these questions, we need to calculate the area of the roof and the number of shingles required, as well as the total cost of the shingles.
1. The area of the roof can be calculated by multiplying the length and width of one side of the roof: Area = Length × Width = 15' × 36'.
Therefore, the area is 540 square feet.
To find the number of squares of shingles needed, divide the area by the area covered by one square of shingles:
Number of squares = Area / (16" × 5/2" × 12" × 5 / 2")
= Area / (16" × 5" × 12 / 2")
= (540 ft²) / (16 in × 5 in × 12 in / 2)
= (540 ft²) / (120 in²)
= 4.5 squares
Since we need to round up to the nearest whole square, the number of squares needed is 5.
Therefore, the correct answer is option A: 6.
2. To find the total cost of the shingles, multiply the number of squares needed by the cost per square:
Total cost = Number of squares × Cost per square
= 5 squares × $95/square
= $475
Therefore, the correct answer is option C: $570.
Based on the calculations, I would disagree with your answers. The correct answers are 1. A: 6 and 2. C: $570.