One gallon of floor paint costs $22.99 and can cover a 20-foot by 20-foot floor. How much would the floor paint cost to paint a 60-foot by 60-foot floor?
Answer (2)
Calculate the area covered by one gallon of paint: 20 ft × 20 ft = 400 ft 2 .
Calculate the area of the floor: 60 ft × 60 ft = 3600 ft 2 .
Calculate the number of gallons needed: 400 ft 2 3600 ft 2 = 9 gallons .
Calculate the total cost: 9 gallons × $22.99/ gallon = $206.91 .
Explanation
Understanding the Problem We are given that one gallon of floor paint costs $22.99 and covers a 20-foot by 20-foot floor. We need to find the cost to paint a 60-foot by 60-foot floor.
Area Covered by One Gallon First, let's find the area that one gallon of paint can cover. The area is given by: 20 ft × 20 ft = 400 ft 2
Area of the Floor to be Painted Next, let's calculate the area of the floor to be painted. The area is given by: 60 ft × 60 ft = 3600 ft 2
Number of Gallons Needed Now, we need to find out how many gallons of paint are needed to cover the entire floor. We can find this by dividing the total area of the floor by the area covered by one gallon of paint: 400 ft 2 / gallon 3600 ft 2 = 9 gallons
Total Cost Finally, we can calculate the total cost by multiplying the number of gallons needed by the cost per gallon: 9 gallons × $22.99/ gallon = $206.91
Examples
This problem demonstrates how to calculate the amount of material needed for a project and its total cost. This is a common task in home improvement, construction, and many other fields. For example, when tiling a floor, you need to calculate the area to be tiled, determine how many tiles you need based on the tile size, and then calculate the total cost based on the price per tile.
To paint a 60-foot by 60-foot floor, you will need 9 gallons of paint, which costs a total of $206.91. Each gallon covers 400 square feet, and the total area of the floor is 3600 square feet. This gives the final calculation as 9 gallons multiplied by $22.99 per gallon.
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