An archery target consists of a circular bull’s-eye with radius x,
surrounded by four rings with width y. what is the area of the
outermost ring in terms of x and y?

As the archery target is a circular bull's eye then the radius you need to find is expressed by the following formula:
 r = x + 4y 
After you have the radius, now you can find the area pf the outermost ring in the terms you need using the following formula
A = pi ( x + 4y )^2 
I know you can get to the answer with this