Given the following shapes: a square with side 6, a right_triangle with base 3 and height 3, a trapezoid with bases 6 and 5 and height 5, a rectangle with width 9 and height 8, a rectangle with width 5 and height 4. 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
Right triangle with base 3 and height 3: Area = 0.5 x 3 x 3 = 4.5
Trapezoid with bases 6, 5 and height 5: Area = 0.5 x (6 + 5) x 5 = 27.5
Rectangle with width 9 and height 8: Area = 9 x 8 = 72
Rectangle with width 5 and height 4: Area = 5 x 4 = 20</think>

<answer>160</answer>