Jonathan wants to build a concrete patio that will be 7 yards by 13 yards. It will cost $5.00 per square yard to build. What will be the total cost of the patio?

1 answer

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.