As shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar figures with the similar center at point O. If OA′: A′A = 2.0:1.0, the area of ​​the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of ​​the quadrilateral ABCD is ()
Choices:
A:24cm^{2}
B:27cm^{2}
C:36cm^{2}
D:54cm^{2}
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar figures with the similar center at point O. If OA′: A′A = 2.0:1.0, the area of ​​the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of ​​the quadrilateral ABCD is ()
Choices:
A:24cm^{2}
B:27cm^{2}
C:36cm^{2}
D:54cm^{2}
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, the quadrilateral ABCD and A′B′C′D′ are similar figures with the similar center at point O. If OA′: A′A = 2.0:1.0, the area of ​​the quadrilateral A′B′C′D′ is 12.0 ^ 2, then the area of ​​the quadrilateral ABCD is ()
Choices:
A:24cm^{2}
B:27cm^{2}
C:36cm^{2}
D:54cm^{2}