Given the following shapes: a trapezoid with bases 6 and 5 and height 4, a trapezoid with bases 5 and 4 and height 7, a right_triangle with base 2 and height 6, a right_triangle with base 4 and height 3, a square with side 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 6, 5 and height 4: Area = 0.5 x (6 + 5) x 4 = 22.0
Trapezoid with bases 5, 4 and height 7: Area = 0.5 x (5 + 4) x 7 = 31.5
Right triangle with base 2 and height 6: Area = 0.5 x 2 x 6 = 6.0
Right triangle with base 4 and height 3: Area = 0.5 x 4 x 3 = 6.0
Square with side 9: Area = 9^2 = 81</think>

<answer>146</answer>