Final answer:
The total cost for the custom picture frame is found by calculating the perimeter in inches, converting it to feet, multiplying by the cost per foot of the material, and adding labor charges. The total cost is $53.15.
Step-by-step explanation:
To calculate the total cost of the custom order picture frame, we need to determine the amount of material Norah will use and then combine the cost of the material with the labor charges. The frame's dimensions are given in inches, but the material cost is given per foot, so conversion is necessary.
Step 1: Calculating the Perimeter
The frame has a length of 28 3/4 inches and a width of 15 1/2 inches. To find out how much framing material Norah needs, we calculate the perimeter of the rectangle:
- Perimeter = 2 x (Length + Width)
- Perimeter = 2 x (28.75 inches + 15.5 inches)
- Perimeter = 2 x 44.25 inches
- Perimeter = 88.5 inches
Step 2: Converting Inches to Feet
There are 12 inches in a foot, so we divide the total inches by 12.
- Perimeter in feet = 88.5 inches / 12 inches/foot
- Perimeter in feet = 7.375 feet
Step 3: Calculating Material Cost
The material cost is $2.80 per foot. Thus, we multiply the perimeter in feet by the cost per foot.
- Material Cost = Perimeter in feet x Cost per foot
- Material Cost = 7.375 feet x $2.80/foot
- Material Cost = $20.65
Step 4: Adding Labor Charges
Norah charges $32.50 for labor. Now, we add the material cost to the labor charges to find the total cost.
- Total Cost = Material Cost + Labor Charges
- Total Cost = $20.65 + $32.50
- Total Cost = $53.15
Therefore, the total cost of the custom order picture frame is $53.15.