Given the following shapes: a right_triangle with base 6 and height 6, a trapezoid with bases 6 and 8 and height 9, a rectangle with width 8 and height 9, a right_triangle with base 3 and height 1, a right_triangle with base 4 and height 4, a square with side 4. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 6 and height 6: Area = 0.5 x 6 x 6 = 18.0
Trapezoid with bases 6, 8 and height 9: Area = 0.5 x (6 + 8) x 9 = 63.0
Rectangle with width 8 and height 9: Area = 8 x 9 = 72
Right triangle with base 3 and height 1: Area = 0.5 x 3 x 1 = 1.5
Right triangle with base 4 and height 4: Area = 0.5 x 4 x 4 = 8.0
Square with side 4: Area = 4^2 = 16</think>

<answer>178</answer>