Given the following shapes: a square with side 9, a trapezoid with bases 6 and 7 and height 6, a right_triangle with base 3 and height 9, a trapezoid with bases 5 and 4 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 9: Area = 9^2 = 81
Trapezoid with bases 6, 7 and height 6: Area = 0.5 x (6 + 7) x 6 = 39.0
Right triangle with base 3 and height 9: Area = 0.5 x 3 x 9 = 13.5
Trapezoid with bases 5, 4 and height 9: Area = 0.5 x (5 + 4) x 9 = 40.5</think>

<answer>174</answer>