AMC 12B 2002 Problem 25

Let f(x)=x^{2}+6 x+1, and let R denote the set of points (x, y) in the coordinate plane such that

f(x)+f(y) \leq 0 \quad \text { and } \quad f(x)-f(y) \leq 0

The area of R is closest to

Answer Choices
A. 21
B. 22
C. 23
D. 24
E. 25