Let $$ABCD$$ be a rectangle. Let $$X$$ and $$Y$$ be points respectively on $$AB$$ and $$CD$$ such that $$AX\colon XB=1\colon2=CY\colon YD$$. Join $$AY$$ and $$CX$$; let $$BY$$ intersect $$CX$$ in $$K$$; let $$DX$$ intersect $$AY$$ in $$L$$. If $$\frac{m}{n}$$ denotes the ratio of the area of $$XKYL$$ to that of $$ABCD$$, then $$m+n$$ equals

A

9

B

11

C

13

D

15