Answer:
The area is:
[tex]1\text{ }\frac{5}{12}\text{ yards}[/tex]Explanation:
A rug is 1/2 yard by 2 5/6 yards.
We want to find the area in square yard.
The area is given as:
[tex]\begin{gathered} A=\frac{1}{2}\times2\text{ }\frac{5}{6} \\ \\ =\frac{1}{2}\times\frac{17}{6} \\ \\ =\frac{1\times17}{2\times6} \\ \\ =\frac{17}{12} \\ \\ =1\text{ }\frac{5}{12}\text{ square yards} \end{gathered}[/tex]