Given the following shapes: a rectangle with width 4 and height 8, a trapezoid with bases 3 and 9 and height 9, a trapezoid with bases 6 and 4 and height 5, a right_triangle with base 4 and height 8, a trapezoid with bases 1 and 8 and height 8, a trapezoid with bases 6 and 3 and height 2. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 4 and height 8: Area = 4 x 8 = 32
Trapezoid with bases 3, 9 and height 9: Area = 0.5 x (3 + 9) x 9 = 54.0
Trapezoid with bases 6, 4 and height 5: Area = 0.5 x (6 + 4) x 5 = 25.0
Right triangle with base 4 and height 8: Area = 0.5 x 4 x 8 = 16.0
Trapezoid with bases 1, 8 and height 8: Area = 0.5 x (1 + 8) x 8 = 36.0
Trapezoid with bases 6, 3 and height 2: Area = 0.5 x (6 + 3) x 2 = 9.0</think>

<answer>172</answer>