A painter needs to purchase enough paint to paint a bedroom that consists of four walls. Two of the walls are 11 feet by 10 feet and the other two walls are 12 feet by 10 feet.
The paint is sold in 1 gallon cans, and each gallon of paint will cover an area that is approximately 250 to 300 square feet. The price of the paint per gallon is $36.00.
The painter estimates that he will only need one coat of paint to cover each wall.
How many gallons of paint should the painter buy?
gallons
2 gallons I believe since there is enough to cover 250-300 square feet, and math says there is 460 square feet covered by all four walls.
area of all 4 walls, ignoring doors and windows
= 2(11)(10) + 2(12)(10) ft^2
= 460 ft^2
number of gallons at 300 ft^2 = 460/300 = 1.5
unless you buy quarts, 2 gallons will be needed
cost = .....
To determine the number of gallons of paint the painter should buy, we need to calculate the total area of the walls.
Let's calculate the area of each wall separately:
Area of the first wall = length × width = 11 feet × 10 feet = 110 square feet
Area of the second wall = length × width = 11 feet × 10 feet = 110 square feet
Area of the third wall = length × width = 12 feet × 10 feet = 120 square feet
Area of the fourth wall = length × width = 12 feet × 10 feet = 120 square feet
To find the total area, we add up the areas of all four walls:
Total area = 110 square feet + 110 square feet + 120 square feet + 120 square feet = 460 square feet
Since each gallon of paint covers approximately 250 to 300 square feet, we will need:
Number of gallons = total area ÷ coverage per gallon
Number of gallons = 460 square feet ÷ 250 square feet per gallon
Number of gallons ≈ 1.84 gallons
Since we cannot purchase a fraction of a gallon, the painter should purchase 2 gallons of paint.
To find out how many gallons of paint the painter should buy, we need to calculate the total area of all four walls and then determine how many gallons of paint will be required based on the coverage area of each gallon.
First, let's calculate the area of each wall.
The area of the first two walls (11 feet by 10 feet) is:
11 feet * 10 feet = 110 square feet per wall
Since there are two walls of this size, the total area for these walls is:
110 square feet * 2 walls = 220 square feet
The area of the other two walls (12 feet by 10 feet) is:
12 feet * 10 feet = 120 square feet per wall
Again, there are two walls of this size, so the total area for these walls is:
120 square feet * 2 walls = 240 square feet
Next, let's add up the total area of all four walls:
220 square feet + 240 square feet = 460 square feet
Now, we need to determine how many gallons of paint are needed based on the coverage area per gallon. Given that 1 gallon of paint covers approximately 250 to 300 square feet, we can assume the average coverage to be around 275 square feet per gallon.
To calculate the number of gallons required, we need to divide the total area of the walls by the coverage area per gallon:
460 square feet / 275 square feet per gallon ≈ 1.67 gallons
Since we cannot buy a fraction of a gallon, we round up to the nearest whole gallon.
Therefore, the painter should buy approximately 2 gallons of paint.
Please note that this calculation is an estimate, and it's always a good idea to purchase a little extra to account for any touch-ups or future needs.