To find the area of the square, we need to know the length of one of its sides.

From your description, it seems the center sides of the figure (possibly the sides of the square) measure 12 feet. Since the square has equal sides, each side of the square will also be 12 feet long.

Now, the area $A$ of a square is given by the formula: $A = \text{side}^2$ Substituting the side length: $A = 12^2 = 144 \text{ square feet}$

Thus, the area of the square is 144 square feet.

Would you like further details on this or have additional questions?

Here are 5 related questions for further exploration:

1. How do you calculate the area of a circle, and how does that apply to the half circles in this figure?
2. If you had to calculate the total area of the figure (square + half circles), how would you do it?
3. How would the area change if the side length of the square were doubled?
4. How do you determine the perimeter of a square, and what role does the half circle play in it?
5. What is the relationship between the diameter of a circle and the side of a square when they are combined in a figure?

Tip: To find the area of a circle, you can use the formula $A = \pi r^2$, where $r$ is the radius. For half circles, you would divide the result by 2.