Given the following shapes: a right_triangle with base 6 and height 8, a rectangle with width 9 and height 6, a rectangle with width 5 and height 6, a rectangle with width 2 and height 4, a square with side 4, a trapezoid with bases 6 and 4 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 6 and height 8: Area = 0.5 x 6 x 8 = 24.0
Rectangle with width 9 and height 6: Area = 9 x 6 = 54
Rectangle with width 5 and height 6: Area = 5 x 6 = 30
Rectangle with width 2 and height 4: Area = 2 x 4 = 8
Square with side 4: Area = 4^2 = 16
Trapezoid with bases 6, 4 and height 9: Area = 0.5 x (6 + 4) x 9 = 45.0</think>

<answer>177</answer>