The corner of a plate selected as the origin is also the axis of rotation about the $z-$axis as shown in the figure below. The dimensions of the plate are $x=32cm,y=12cm$

and thickness $=3\mathrm{.}9cm.$ The plate has a density of $2,986k\frac{g}{m^3}.$ Two $6cm$ diameter holes are drilled through the plate. The location of the center of the first hole is at $x_1=$

$18cm$ and $y_1=3\mathrm{.}7cm$ and location of the center of the second hole is at $x_2=6cm$ and $y_2=8\mathrm{.}1cm.$ What is the mass moment of inertia for the plate? $($Enter your answer

and round to $4$ decimal places of akg$*m^2.)$

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