In the figure above, the length and the breadth of the rectangle are 6 cms and 4 cms respectively. What is the area of the shaded region, if the circle shown in the figure touches exactly three sides of the rectangle, as shown? (in cm $\({ cm}^2\)$ )

(A) $\(\frac{80}{7}\)$

(B) \(10\)

(C) $\(\frac{80}{9}\)$

(D) \(8\)

(E) $\(\frac{80}{11}\)$