To find the cost of putting a new concrete floor in the garage, we first need to calculate the area of the garage.
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{length} \times \text{width} \]
In this case, the garage is 12 yards long and 8 yards wide:
\[ A = 12 , \text{yards} \times 8 , \text{yards} = 96 , \text{square yards} \]
Next, we calculate the cost to put in the concrete floor. The cost per square yard is $5.00. Therefore, the total cost \( C \) can be calculated using the formula:
\[ C = A \times \text{cost per square yard} \]
Substituting the known values:
\[ C = 96 , \text{square yards} \times 5.00 , \text{dollars/square yard} = 480 , \text{dollars} \]
Thus, the total cost to put in a new concrete floor in the garage is $480.00.