2019 AMC 12A Problem 5

Two lines with slopes \dfrac{1}{2} and 2 intersect at (2,2). What is the area of the triangle enclosed by these two lines and the line x+y=10?

\textbf{(A) } 4 \qquad\textbf{(B) } 4\sqrt{2} \qquad\textbf{(C) } 6 \qquad\textbf{(D) } 8 \qquad\textbf{(E) } 6\sqrt{2}

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