Given the following shapes: a trapezoid with bases 4 and 7 and height 8, a trapezoid with bases 4 and 5 and height 8, a rectangle with width 3 and height 7, a square with side 3, a right_triangle with base 1 and height 2, a right_triangle with base 4 and height 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 4, 7 and height 8: Area = 0.5 x (4 + 7) x 8 = 44.0
Trapezoid with bases 4, 5 and height 8: Area = 0.5 x (4 + 5) x 8 = 36.0
Rectangle with width 3 and height 7: Area = 3 x 7 = 21
Square with side 3: Area = 3^2 = 9
Right triangle with base 1 and height 2: Area = 0.5 x 1 x 2 = 1.0
Right triangle with base 4 and height 6: Area = 0.5 x 4 x 6 = 12.0</think>

<answer>123</answer>