Given the following shapes: a square with side 6, a rectangle with width 2 and height 9, a rectangle with width 8 and height 3, a square with side 8, a right_triangle with base 6 and height 2, a trapezoid with bases 6 and 1 and height 8. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 6: Area = 6^2 = 36
Rectangle with width 2 and height 9: Area = 2 x 9 = 18
Rectangle with width 8 and height 3: Area = 8 x 3 = 24
Square with side 8: Area = 8^2 = 64
Right triangle with base 6 and height 2: Area = 0.5 x 6 x 2 = 6.0
Trapezoid with bases 6, 1 and height 8: Area = 0.5 x (6 + 1) x 8 = 28.0</think>

<answer>176</answer>