carpenter is trying to determine how many squares of shingles will be needed for a roofing job. Both sides of the gable roof are the same size, and one side of the roof measures 15′ × 30′. How many squares of shingles would be needed to cover both sides of this roof?
A. 7
***B. 9
C. 6
D. 8
I think the answer is B.9. Would you agree?
How big are the squares of shingles?
Even without that information, I would disagree. 9 would mean that there are 4 shingles on one side and 5 on the other.
The squares are 100 sq ft.
To determine the number of squares of shingles needed to cover both sides of the roof, we first need to calculate the total area of the roof. Since both sides of the gable roof are the same size, we can find the area of one side and multiply it by 2 to get the total area.
The area of a rectangle is calculated by multiplying its length by its width. In this case, the length of one side of the roof is 15 feet and the width is 30 feet. So the area of one side of the roof is:
Area of one side = Length × Width = 15 ft × 30 ft = 450 ft²
To find the total area of both sides, we multiply the area of one side by 2:
Total area = Area of one side × 2 = 450 ft² × 2 = 900 ft²
Now, we need to determine the number of squares of shingles needed to cover this total area. One square of shingles is equal to 100 square feet. So, to calculate the number of squares needed, we divide the total area by 100:
Number of squares needed = Total area ÷ 100 = 900 ft² ÷ 100 = 9 squares
Therefore, the correct answer is B. 9.
Yes, your answer is correct. Well done!