To calculate the total cost of the patio, we first need to find the area of the patio in square yards. The area \(A\) of a rectangle can be calculated using the formula:
\[ A = \text{length} \times \text{width} \]
In this case, the length is 13 yards and the width is 7 yards:
\[ A = 13 , \text{yards} \times 7 , \text{yards} = 91 , \text{square yards} \]
Next, we need to calculate the total cost of building the patio. The cost per square yard is $5.00, so the total cost \(C\) can be calculated as:
\[ C = \text{area} \times \text{cost per square yard} \]
Substituting the values we calculated:
\[ C = 91 , \text{square yards} \times 5.00 , \text{dollars per square yard} = 455 , \text{dollars} \]
Thus, the total cost of the patio will be \(\boxed{455}\) dollars.
1 answer