bob wants to glue glitter over a piece of felt shaped like a rectangle with length 46 inches and width 56 inches. if the glitter costs .30 to cover a square foot of material , how much will it cost to cover the felt with glitter?
Multiply the area of the rectangle (in square feet) by 0.30 /sq. ft
There are 144 square inches per square foot.
43.20
To find out how much it will cost to cover the felt with glitter, we first need to determine the area of the rectangle. The formula for calculating the area of a rectangle is length multiplied by width.
So, for the given rectangle with a length of 46 inches and a width of 56 inches, the area can be calculated as:
Area = Length × Width
Area = 46 inches × 56 inches
Now, since the measurements are in inches, we need to convert the area to square feet. There are 12 inches in a foot, so to convert square inches to square feet, we divide the area by 144 (12 inches × 12 inches = 144 square inches in a square foot):
Area (in square feet) = Area (in square inches) / 144
Next, we can calculate the area:
Area = 46 inches × 56 inches
Area = 2,576 square inches
Converting the area to square feet:
Area (in square feet) = 2,576 square inches / 144
Area (in square feet) ≈ 17.89 square feet
Now, since the glitter costs $0.30 to cover a square foot of material, we can multiply the cost per square foot by the area in square feet to find the total cost:
Total cost = Cost per square foot × Area (in square feet)
Total cost = $0.30 × 17.89 square feet
Calculating the total cost:
Total cost ≈ $5.37
So, it will cost approximately $5.37 to cover the felt rectangle with glitter.