Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 36 in. and a base of 46 in. If the glitter costs $1.20 per ft2 to cover the felt, how much will it cost to cover the felt?
A) $55.20
B) $1987.2
C) $165.60
D) $13.80
Area = width times height
A = 36 * 46
Convert the area to square feet.
1 square inches = 0.00694444444 square feet
Multiply the area in feet by $1.20 to find the cost.
I'll be glad to check your answer.
To find the cost of covering the felt with glitter, we first need to calculate the area of the parallelogram-shaped felt.
The formula for the area of a parallelogram is: area = base * height.
Given:
Base = 46 in.
Height = 36 in.
Converting the measurements to feet:
Base = 46 in / 12 in/ft = 3.83 ft
Height = 36 in / 12 in/ft = 3 ft
Area = 3.83 ft * 3 ft = 11.49 ft^2
Next, we need to multiply the area by the cost per square foot of glitter:
11.49 ft^2 * $1.20/ft^2 = $13.80
Therefore, the cost to cover the felt with glitter is $13.80.
The correct answer is D) $13.80.
To find the cost of covering the felt with glitter, we first need to calculate the area of the parallelogram.
The formula to find the area of a parallelogram is:
Area = base * height
In this case, the base is 46 inches and the height is 36 inches. However, to find the area in square feet, we need to convert these measurements to feet.
Since 1 foot is equal to 12 inches, we can convert the base and height to feet by dividing them each by 12.
Base in feet = 46 inches / 12 = 3.83 feet
Height in feet = 36 inches / 12 = 3 feet
Now we can calculate the area of the parallelogram:
Area = base * height = 3.83 feet * 3 feet = 11.49 ft2 (rounded to two decimal places)
Now we know that the area of the felt is 11.49 ft2. The cost to cover 1 ft2 with glitter is given as $1.20.
To find the total cost to cover the felt, we multiply the area of the felt by the cost per square foot:
Total cost = Area * Cost per ft2 = 11.49 ft2 * $1.20/ft2 = $13.788 (rounded to two decimal places)
Therefore, the cost to cover the felt with glitter is approximately $13.80.
So, the correct option is D) $13.80.