Squares ABCD, EFGH, and GHIJ are equal in area. Points C and D are the midpoints of sides IH ad HE, respectively. What is the ratio of the area of the shaded pentagon AJICB to the sum of the areas of the three squares?[asy]
pair A,B,C,D,E,F,G,H,I,J;
A = (0.5,2);
B = (1.5,2);
C = (1.5,1);
D = (0.5,1);
E = (0,1);
F = (0,0);
G = (1,0);
H = (1,1);
I = (2,1);
J = (2,0);
draw(A--B);
draw(C--B);
draw(D--A);
draw(F--E);
draw(I--J);
draw(J--F);
draw(G--H);
draw(A--J);
filldraw(A--B--C--I--J--cycle,grey);
draw(E--I);
dot("A", A, NW);
dot("B", B, NE);
dot("C", C, NE);
dot("D", D, NW);
dot("E", E, NW);
dot("F", F, SW);
dot("G", G, S);
dot("H", H, N);
dot("I", I, NE);
dot("J", J, SE);[/asy]<spanclass=′latex−bold′>(A)</span> 41<spanclass=′latex−bold′>(B)</span> 247<spanclass=′latex−bold′>(C)</span> 31<spanclass=′latex−bold′>(D)</span> 83<spanclass=′latex−bold′>(E)</span> 125 ratiogeometryrectanglerotationAMC