Simone would like to cover her patio with an outdoor carpet which costs $22.50 per square yard. If the patio measures 9 ft long and 14 ft wide, what would the total cost of the carpet be?

9 feet = 3 yards

14 feet = 4.666667 yards

3 * 4.66667 * 22.5 = ?

To find the total cost of the carpet, we need to calculate the total area of the patio and then multiply it by the cost per square yard of the carpet.

First, we need to convert the dimensions of the patio from feet to yards because the cost per square yard is given.

Since 1 yard is equal to 3 feet, the length of the patio in yards would be:

9 ft ÷ 3 = 3 yards

Likewise, the width of the patio in yards would be:

14 ft ÷ 3 = 4.67 yards (approximated to two decimal places)

The total area of the patio is the length multiplied by the width:

3 yards × 4.67 yards = 14.01 square yards (approximated to two decimal places)

Now, we can calculate the total cost of the carpet by multiplying the total area by the cost per square yard:

14.01 square yards × $22.50 per square yard = $314.48

Therefore, the total cost of the carpet would be approximately $314.48.