AMC 12A 2019 Problem 19

In \triangle A B C with integer side lengths,

\cos A=\dfrac{11}{16}, \quad \cos B=\dfrac{7}{8}, \quad \text { and } \quad \cos C=-\dfrac{1}{4} .

What is the least possible perimeter for \triangle A B C ?

Answer Choices
A. 9
B. 12
C. 23
D. 27
E. 44