Given the following shapes: a right_triangle with base 9 and height 5, a trapezoid with bases 6 and 4 and height 6, a trapezoid with bases 1 and 4 and height 3, a trapezoid with bases 3 and 6 and height 2, a trapezoid with bases 8 and 9 and height 9, a right_triangle with base 6 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 9 and height 5: Area = 0.5 x 9 x 5 = 22.5
Trapezoid with bases 6, 4 and height 6: Area = 0.5 x (6 + 4) x 6 = 30.0
Trapezoid with bases 1, 4 and height 3: Area = 0.5 x (1 + 4) x 3 = 7.5
Trapezoid with bases 3, 6 and height 2: Area = 0.5 x (3 + 6) x 2 = 9.0
Trapezoid with bases 8, 9 and height 9: Area = 0.5 x (8 + 9) x 9 = 76.5
Right triangle with base 6 and height 5: Area = 0.5 x 6 x 5 = 15.0</think>

<answer>160</answer>