A rectangle with side length 1 and 3 , a square with side length 1 , and a rectangle R are inscribed inside a larger square as shown. The sum of all possible values for the area of R can be written in the form \dfrac{m}{n}, where m and n are relatively prime positive integers. What is m+n ?

**Answer Choices**

A. 14

B. 23

C. 46

D. 59

E. 67