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Mathematics, 12.08.2020 08:01 bsheepicornozj0gc

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?

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