AMC 8 2011 Problem 16

Let $A$ be the area of the triangle with sides of length $25, 25$, and $30$. Let $B$ be the area of the triangle with sides of length $25, 25,$ and $40$. What is the relationship between $A$ and $B$? $\textbf{(A) } A = \dfrac9{16}B \textbf{(B) } A = \dfrac34B \textbf{(C) } A=B \textbf{(D) } A = \dfrac43B \textbf{(E) }A = \dfrac{16}9B$