Answer :
Answer:
To find the minimum cost for shingle installation, we need to calculate the total area of the roof.
The area of each sloping rectangular side of the roof can be calculated as follows:
Area = length * width
Since the width is given as 24 feet and the height in the middle is at least 10 feet, we can use the Pythagorean theorem to find the length of each side: in
Length = sqrt(10^2 + 24^2) = sqrt(100 + 576) = sqrt(676) = 26 feet
Now, we can find the area of each sloping side:
Area_sloping_side = 26 feet * 24 feet = 624 square feet
Since there are two sloping sides, the total area of the sloping roof is:
Total_area_sloping_roof = 2 * Area_sloping_side = 2 * 624 square feet = 1248 square feet
The total area of the roof is the sum of the area of the two sloping sides and the floor area of the attic:
Total_area_roof = Total_area_sloping_roof + 1200 square feet = 1248 square feet + 1200 square feet = 2448 square feet
Now, we can find the cost for installation:
Cost = Total_area_roof * $4.25/square foot
Cost = 2448 square feet * $4.25/square foot = $10,420
So, the minimum cost for shingle installation in Bernie's design is $10,420.