To find the total cost of painting the four walls of the room with two coats of paint, we first need to calculate the area of each wall.
The room has four walls: two longer walls and two shorter walls. The longer walls have a length of 18 feet and a height of 8 feet, while the shorter walls have a length of 14 feet and a height of 8 feet.
To calculate the area of each wall, we multiply the length by the height:
Area of longer walls = 18 feet * 8 feet = 144 square feet per wall
Area of shorter walls = 14 feet * 8 feet = 112 square feet per wall
Since we need to apply two coats of paint, we'll need to multiply the area of each wall by 2.
Total area of longer walls = 144 square feet * 2 coats = 288 square feet
Total area of shorter walls = 112 square feet * 2 coats = 224 square feet
Now we need to calculate how many gallons of paint we'll need to cover the walls. Each gallon covers 256 square feet with one coat, so we need to divide the total area of each wall by 256 to find out how many gallons we'll need.
Number of gallons for longer walls = 288 square feet / 256 square feet per gallon = 1.125 gallons
Number of gallons for shorter walls = 224 square feet / 256 square feet per gallon = 0.875 gallons
Since we need to apply two coats, we'll need to double the number of gallons required for each wall.
Total number of gallons for longer walls = 1.125 gallons * 2 coats = 2.25 gallons
Total number of gallons for shorter walls = 0.875 gallons * 2 coats = 1.75 gallons
Now we can calculate the cost of the paint. Each gallon of paint costs $9.50.
Total cost for longer walls = 2.25 gallons * $9.50 per gallon = $21.38
Total cost for shorter walls = 1.75 gallons * $9.50 per gallon = $16.63
To get the total cost of painting all four walls, we simply add the costs of the longer and shorter walls.
Total cost = $21.38 + $16.63 = $38.01
Therefore, the cost of painting the four walls of the room with two coats of paint is $38.01.