Given the following shapes: a trapezoid with bases 3 and 6 and height 8, a trapezoid with bases 3 and 8 and height 9, a right_triangle with base 6 and height 4, a trapezoid with bases 8 and 7 and height 6, a square with side 2, a right_triangle with base 9 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 3, 6 and height 8: Area = 0.5 x (3 + 6) x 8 = 36.0
Trapezoid with bases 3, 8 and height 9: Area = 0.5 x (3 + 8) x 9 = 49.5
Right triangle with base 6 and height 4: Area = 0.5 x 6 x 4 = 12.0
Trapezoid with bases 8, 7 and height 6: Area = 0.5 x (8 + 7) x 6 = 45.0
Square with side 2: Area = 2^2 = 4
Right triangle with base 9 and height 5: Area = 0.5 x 9 x 5 = 22.5</think>

<answer>169</answer>