Given the following shapes: a trapezoid with bases 9 and 5 and height 6, a square with side 3, a right_triangle with base 2 and height 7, a rectangle with width 4 and height 9, a right_triangle with base 3 and height 1, a trapezoid with bases 6 and 5 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 9, 5 and height 6: Area = 0.5 x (9 + 5) x 6 = 42.0
Square with side 3: Area = 3^2 = 9
Right triangle with base 2 and height 7: Area = 0.5 x 2 x 7 = 7.0
Rectangle with width 4 and height 9: Area = 4 x 9 = 36
Right triangle with base 3 and height 1: Area = 0.5 x 3 x 1 = 1.5
Trapezoid with bases 6, 5 and height 5: Area = 0.5 x (6 + 5) x 5 = 27.5</think>

<answer>123</answer>