Given the following shapes: a rectangle with width 5 and height 7, a trapezoid with bases 2 and 2 and height 7, a square with side 9, a trapezoid with bases 3 and 4 and height 6, a right_triangle with base 6 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 5 and height 7: Area = 5 x 7 = 35
Trapezoid with bases 2, 2 and height 7: Area = 0.5 x (2 + 2) x 7 = 14.0
Square with side 9: Area = 9^2 = 81
Trapezoid with bases 3, 4 and height 6: Area = 0.5 x (3 + 4) x 6 = 21.0
Right triangle with base 6 and height 5: Area = 0.5 x 6 x 5 = 15.0</think>

<answer>166</answer>