Answer:
[tex]6 \frac{5}{12} \: {ft}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: rectangle = length \times width \\ \\ = 1 \frac{1}{6} \times 5 \frac{1}{2} \\ \\ = \frac{7}{6} \times \frac{11}{2} \\ \\ = \frac{77}{12} \\ \\ = 6 \frac{5}{12} \: {ft}^{2} [/tex]