Given the following shapes: a right_triangle with base 9 and height 1, a square with side 4, a rectangle with width 6 and height 9, a trapezoid with bases 4 and 1 and height 9, a trapezoid with bases 3 and 7 and height 5, a right_triangle with base 9 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 9 and height 1: Area = 0.5 x 9 x 1 = 4.5
Square with side 4: Area = 4^2 = 16
Rectangle with width 6 and height 9: Area = 6 x 9 = 54
Trapezoid with bases 4, 1 and height 9: Area = 0.5 x (4 + 1) x 9 = 22.5
Trapezoid with bases 3, 7 and height 5: Area = 0.5 x (3 + 7) x 5 = 25.0
Right triangle with base 9 and height 9: Area = 0.5 x 9 x 9 = 40.5</think>

<answer>162</answer>