A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as shown.If the ratios \($9:\text{S}$ \)and \($\text{S}:\text{T}$ \)are both equal to 3 and \($\text{S}$ and $\text{T}$\) are the side lengths of the shaded squares, what is the total shaded area?