Given the following shapes: a trapezoid with bases 3 and 6 and height 9, a trapezoid with bases 2 and 3 and height 9, a trapezoid with bases 6 and 2 and height 4, a right_triangle with base 2 and height 8, a right_triangle with base 4 and height 9, a rectangle with width 1 and height 2. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 3, 6 and height 9: Area = 0.5 x (3 + 6) x 9 = 40.5
Trapezoid with bases 2, 3 and height 9: Area = 0.5 x (2 + 3) x 9 = 22.5
Trapezoid with bases 6, 2 and height 4: Area = 0.5 x (6 + 2) x 4 = 16.0
Right triangle with base 2 and height 8: Area = 0.5 x 2 x 8 = 8.0
Right triangle with base 4 and height 9: Area = 0.5 x 4 x 9 = 18.0
Rectangle with width 1 and height 2: Area = 1 x 2 = 2</think>

<answer>107</answer>