Given the following shapes: a trapezoid with bases 6 and 9 and height 6, a square with side 6, a rectangle with width 9 and height 2, a right_triangle with base 6 and height 4, a square with side 4, a right_triangle with base 5 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 6, 9 and height 6: Area = 0.5 x (6 + 9) x 6 = 45.0
Square with side 6: Area = 6^2 = 36
Rectangle with width 9 and height 2: Area = 9 x 2 = 18
Right triangle with base 6 and height 4: Area = 0.5 x 6 x 4 = 12.0
Square with side 4: Area = 4^2 = 16
Right triangle with base 5 and height 9: Area = 0.5 x 5 x 9 = 22.5</think>

<answer>150</answer>