Answer:
The area of the garden is ![2356\ ft^2](https://tex.z-dn.net/?f=2356%5C%20ft%5E2)
Step-by-step explanation:
<u>Area of a Square</u>
Given a square of a side length of x, the area is calculated as:
![A = x^2](https://tex.z-dn.net/?f=A%20%3D%20x%5E2)
There is a square garden area of a side length of x=50 feet. The area is:
![A_1=50^2=2500\ ft^2](https://tex.z-dn.net/?f=A_1%3D50%5E2%3D2500%5C%20ft%5E2)
Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:
![A_2=12^2=144\ ft^2](https://tex.z-dn.net/?f=A_2%3D12%5E2%3D144%5C%20ft%5E2)
The area of the garden is the difference between A2 and A1:
![A_g=A_2-A_1=2500\ ft^2-144\ ft^2](https://tex.z-dn.net/?f=A_g%3DA_2-A_1%3D2500%5C%20ft%5E2-144%5C%20ft%5E2)
![A_g=2356\ ft^2](https://tex.z-dn.net/?f=A_g%3D2356%5C%20ft%5E2)