A circle of radius 1 is tangent to a circle of radius 2. The sides of △ABC are tangent to the circles as shown, and the sides AB and AC are congruent. What is the area of △ABC?[asy]defaultpen(black+linewidth(0.7));
size(7cm);
real t=2^0.5;
D((0,0)--(4*t,0)--(2*t,8)--cycle, black);
D(CR((2*t,2),2), black);
D(CR((2*t,5),1), black);
dot(origin^^(4t,0)^^(2t,8));
label("B", (0,0), SW);
label("C", (4*t,0), SE);
label("A", (2*t,8), N);
D((2*t,2)--(2*t,4), black); D((2*t,5)--(2*t,6), black);
MP('2', (2*t,3), W); MP('1',(2*t, 5.5), W);[/asy]<spanclass=′latex−bold′>(A)</span>235<spanclass=′latex−bold′>(B)</span>152<spanclass=′latex−bold′>(C)</span>364<spanclass=′latex−bold′>(D)</span>162<spanclass=′latex−bold′>(E)</span>24