The moment of inertia of the rectangle about the y-axis is given by:
$I_{y,rect} = \frac{1}{3}bh^3 = \frac{1}{3}(2a)(a)^3 = \frac{2a^4}{3}$
The moment of inertia of the triangle about the y-axis is given by:
$I_{y,tri} = \frac{1}{12}b h^3 + A d^2 =
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