Answer
$\frac{11}{2} ft^{2}$ or $5\frac{1}{2} ft^{2}$
Work Step by Step
Area of Shelf = Length $\times$ width
= $6 ft\times\frac{11}{12} ft$
= $\frac{6}{1}\times\frac{11}{12} ft^{2}$
= $\frac{6\times11}{1\times12} ft^{2}$
= $\frac{1\times11}{1\times2} ft^{2}$
= $\frac{11}{2} ft^{2}$ or $5\frac{1}{2} ft^{2}$