What's this shape?

The figurw that would form is an ellipse with the major arc x- axis and major radius 3. The minor arc would be the y-axis with minor radius 6 because the guven question represents the formula of an ellipse. So, the area covered by an ellipse is $\pi × a × b = \pi × 3 × 2 = \boxed{6\pi}$

The two axes are simple $3$ and $2$ units long so the area is $a b \pi = \boxed{6 \pi}$

We can clearly see that its an ellipse..hence area=pi×ab=6pi. Ans.