2015 AMC 8 Problem 8

What is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 19？

\textbf{(A) }24\qquad\textbf{(B) }29\qquad\textbf{(C) }43\qquad\textbf{(D) }48\qquad \textbf{(E) }57

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.