Answer
The area of the given figure is $3y^2\sqrt y$.
Work Step by Step
Formula for the area
$A=\frac{1}{2}base*height$
$A=\frac{1}{2}\sqrt 2y^4.\sqrt 18y$
$A=\frac{1}{2}\sqrt 36y^5$
$A=3y^2\sqrt y$
So, the area of the given figure is $3y^2\sqrt y$.