Answer
The area of the triangle is approximately $5\text{ square yards}$.
Work Step by Step
The formula for the area of the triangle, Q, with two sides b and c and an angle A inscribed between those sides, is:
$Q=\frac{1}{2}bc\sin A$
Putting the values in the formula, we get
$\begin{align}
& \frac{1}{2}ac\sin B=\frac{1}{2}\left( 3 \right)\left( 6 \right)\left( \sin 36{}^\circ \right) \\
& =9\left( 0.587785 \right) \\
& =5.29 \\
& \approx 5
\end{align}$
The area of the triangle is approximately $5\text{ square yards}$.