Given the following shapes: a square with side 6, a rectangle with width 6 and height 5, a right_triangle with base 3 and height 3, a trapezoid with bases 9 and 7 and height 7, a rectangle with width 6 and height 7. 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 6 and height 5: Area = 6 x 5 = 30
Right triangle with base 3 and height 3: Area = 0.5 x 3 x 3 = 4.5
Trapezoid with bases 9, 7 and height 7: Area = 0.5 x (9 + 7) x 7 = 56.0
Rectangle with width 6 and height 7: Area = 6 x 7 = 42</think>

<answer>168</answer>