Consider two circles, each having radius of 5cm (centimeters), touching each other at a point P. A direct tangent QR is drawn touching one circle at a point Q and the other circle at a point R. Inside the region PQR inscribed by the two circles and the tangent, a square ABCD is inscribed with its base AB on the tangent and the other side touching the two circles at points D and C, respectively.
Find the area of the square ABCD.

A

$$4\sqrt{2}$$ sq. cm

B

None of the other options is correct

C

40 sq. cm

D

4 sq. cm

E

100 sq. cm