Questions: The school principal is designing equal spaces. She wants to kne a square courtyard outside of the school, separated into 4 s= length (ft) of one side of each space. Which expression shows the total area of the courtyard? s^2+4 4 s^2 s^4+4

The school principal is designing equal spaces. She wants to kne a square courtyard outside of the school, separated into 4
s= length (ft) of one side of each space.
Which expression shows the total area of the courtyard?
s^2+4
4 s^2
s^4+4

Transcript text: The school principal is designing equal spaces. She wants to kne a square courtyard outside of the school, separated into 4 $s=$ length $(\mathrm{ft})$ of one side of each space. Which expression shows the total area of the courtyard? \[ s^{2}+4 \] $\square$ $4 s^{2}$ $s^{4}+4$ $\square$

Solution

Solution Steps

Step 1: Understand the Problem

The problem involves a square courtyard that is divided into 4 equal spaces. We need to find the expression that represents the total area of the courtyard.

Step 2: Analyze the Options

The courtyard is square-shaped, and if each side of the square courtyard is divided into 4 equal spaces, then the total area of the courtyard is the area of the entire square.

Step 3: Calculate the Total Area

The area of a square is given by the formula $ s^2 $, where $ s $ is the length of one side of the square. Since the courtyard is divided into 4 equal spaces, the total area of the courtyard is simply $ 4s^2 $.