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Estimate the cost of painting a concrete patio if it is a 12 foot by 14 foot rectangle, and a quart of paint that covers 53 square feet costs $10.99

User Amartine
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2 Answers

4 votes

Answer:

$43.96

Step-by-step explanation:

We first need to find the area of the patio which is 12-foot by 14-foot

12 ft * 14 ft = 168 sq ft

next, we need to know how many quarts are needed to cover the entire area of the patio, and we know a quart cover 53 square feet, so we divide the total area of the patio by 53:

168 sq ft ÷ 53 sq ft/quart ≈ 3.17 quarts

We'll need to buy 4 quarts of paint to cover the entire patio.
The cost of 1 quart of paint is $10.99, so the total cost of 4 quarts will be:

4 quarts x $10.99/quart = $43.96

Therefore, the estimated cost of painting the concrete patio will be around $43.96.

User Suneet Bansal
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8.3k points
4 votes

Final answer:

To estimate the cost of painting a 12x14 foot patio, calculate the area, determine the amount of paint needed, and then multiply by the cost per quart. The estimated cost is approximately $43.96.

Step-by-step explanation:

To estimate the cost of painting a concrete patio that is a 12 foot by 14 foot rectangle, first, you need to calculate the area of the patio. Multiply the length by the width to find the total square footage:

Area = Length × Width = 12 ft × 14 ft = 168 square feet.

Next, determine how many quarts of paint are needed by dividing the area of the patio by the coverage area of one quart of paint:

Number of quarts needed = Area / Coverage = 168 sq ft / 53 sq ft per quart ≈ 3.17 quarts.

Since you cannot buy a fraction of a quart, round this number up to the nearest whole number, which is 4 quarts of paint.

Finally, calculate the total cost of paint by multiplying the number of quarts needed by the cost per quart:

Total cost = Number of quarts × Cost per quart = 4 × $10.99 = $43.96.

Therefore, the estimated cost to paint the patio is approximately $43.96.

User PurpleDiane
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8.2k points