Given the following shapes: a rectangle with width 4 and height 9, a right_triangle with base 1 and height 5, a trapezoid with bases 9 and 9 and height 1, a trapezoid with bases 9 and 3 and height 9, a square with side 6, a trapezoid with bases 4 and 4 and height 8. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 4 and height 9: Area = 4 x 9 = 36
Right triangle with base 1 and height 5: Area = 0.5 x 1 x 5 = 2.5
Trapezoid with bases 9, 9 and height 1: Area = 0.5 x (9 + 9) x 1 = 9.0
Trapezoid with bases 9, 3 and height 9: Area = 0.5 x (9 + 3) x 9 = 54.0
Square with side 6: Area = 6^2 = 36
Trapezoid with bases 4, 4 and height 8: Area = 0.5 x (4 + 4) x 8 = 32.0</think>

<answer>170</answer>