Given the following shapes: a right_triangle with base 3 and height 4, a trapezoid with bases 6 and 6 and height 9, a square with side 3, a trapezoid with bases 9 and 3 and height 6, a trapezoid with bases 9 and 2 and height 4, a trapezoid with bases 6 and 8 and height 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 3 and height 4: Area = 0.5 x 3 x 4 = 6.0
Trapezoid with bases 6, 6 and height 9: Area = 0.5 x (6 + 6) x 9 = 54.0
Square with side 3: Area = 3^2 = 9
Trapezoid with bases 9, 3 and height 6: Area = 0.5 x (9 + 3) x 6 = 36.0
Trapezoid with bases 9, 2 and height 4: Area = 0.5 x (9 + 2) x 4 = 22.0
Trapezoid with bases 6, 8 and height 6: Area = 0.5 x (6 + 8) x 6 = 42.0</think>

<answer>169</answer>