Answer
$I = 5.5\times 10^{-5}~kg~m^2$
Work Step by Step
We can find the rotational inertia about the y axis:
$I = (0.050~kg)(0.020~m)^2+(0.025~kg)(0)^2+(0.025~kg)(0.030~m)^2+(0.030~kg)(0.020~m)^2$
$I = 5.5\times 10^{-5}~kg~m^2$
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