A trapezoid has side lengths 3,5,7, and 11 . The sum of all the possible areas of the trapezoid can be written in the form of r_{1} \sqrt{n_{1}}+r_{2} \sqrt{n_{2}}+r_{3}, where r_{1}, r_{2}, and r_{3} are rational numbers and n_{1} and n_{2} are positive integers not divisible by the square of a prime. What is the greatest integer less than or equal to
r_{1}+r_{2}+r_{3}+n_{1}+n_{2} ?
Answer Choices
A. 57
B. 59
C. 61
D. 63
E. 65