In the rectangular prism shown above, the distance between vertices A and H is 6 centimeters, the distance between vertices A and B is 9 centimeters, and the distance between vertices A and E is 4 centimeters.
If the rectangular prism is divided into two parts by a plane that passes through edges AB and HG, what will be the area of the resulting cross-section?
A.
216 square centimeters
B.
54 square centimeters
C.
36 square centimeters
D.
24 square centimeters