Answer:
The area of the garden is [tex]2356\ ft^2[/tex]
Step-by-step explanation:
Area of a Square
Given a square of a side length of x, the area is calculated as:
[tex]A = x^2[/tex]
There is a square garden area of a side length of x=50 feet. The area is:
[tex]A_1=50^2=2500\ ft^2[/tex]
Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:
[tex]A_2=12^2=144\ ft^2[/tex]
The area of the garden is the difference between A2 and A1:
[tex]A_g=A_2-A_1=2500\ ft^2-144\ ft^2[/tex]
[tex]A_g=2356\ ft^2[/tex]