Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Sum of resolved parts in any two directions at right angles, are both zero
Two resolved parts in any two directions at right angles are equal
Algebraic sum of the forces is zero
Algebraic sum of the moments of the forces about the point is zero

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