Given the following shapes: a rectangle with width 8 and height 5, a trapezoid with bases 8 and 9 and height 3, a rectangle with width 3 and height 9, a rectangle with width 5 and height 4, a right_triangle with base 9 and height 6, a square with side 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 8 and height 5: Area = 8 x 5 = 40
Trapezoid with bases 8, 9 and height 3: Area = 0.5 x (8 + 9) x 3 = 25.5
Rectangle with width 3 and height 9: Area = 3 x 9 = 27
Rectangle with width 5 and height 4: Area = 5 x 4 = 20
Right triangle with base 9 and height 6: Area = 0.5 x 9 x 6 = 27.0
Square with side 6: Area = 6^2 = 36</think>

<answer>176</answer>