To determine the total area of the courtyard, which is divided into 4 equal spaces, we will proceed with the following steps:
1. Determine the area of one space: Since each space is a square and has a side length of [tex]\( s \)[/tex] feet, we can calculate the area of one space using the formula for the area of a square:
[tex]\[
\text{Area of one space} = s^2
\][/tex]
2. Calculate the total area of the courtyard: The courtyard is divided into 4 equal spaces. Therefore, to get the total area of the courtyard, we need to multiply the area of one space by 4:
[tex]\[
\text{Total area} = 4 \times (\text{Area of one space})
\][/tex]
3. Substitute the area of one space: Substitute the expression [tex]\( s^2 \)[/tex] from the first step into the total area calculation:
[tex]\[
\text{Total area} = 4 \times s^2
\][/tex]
Therefore, the expression that shows the total area of the courtyard is:
[tex]\[
4 s^2
\][/tex]
Hence, the correct expression is:
[tex]\[
4 s^2
\][/tex]
