Answer :
The surface area of the ice rink is equal to [tex]15190.44ft^{2}[/tex]
Why?
To calculate the area of the ice rink, we need to remember that the surface area of the four coners (with radius of 24 feet) is equal to the area of a single circle with a radius of 24 feet.
So, calculating the area we have:
[tex]SurfaceArea=TotalArea-CircleArea\\\\SurfaceArea=200ft*85ft-\pi *radius^{2}\\\\SurfaceArea=17000ft^{2}-\pi *(24ft)^{2}=17000ft^{2}-1809.56ft^{2}=15190.44ft^{2}[/tex]
Hence, we have that the surface area of the ice rink is equal to [tex]15190.44ft^{2}[/tex]
Have a nice day!