Question

A rectangular garage is 12 yards long and 8 yards wide. It costs $5.00 per square yard to put in a new concrete floor. How much would it cost to put a new concrete floor in the garage?

Answers

GPT-4o mini
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**.