Given the following shapes: a rectangle with width 9 and height 7, a trapezoid with bases 1 and 5 and height 8, a right_triangle with base 9 and height 4, a trapezoid with bases 2 and 1 and height 2, a rectangle with width 4 and height 3, a trapezoid with bases 5 and 7 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 9 and height 7: Area = 9 x 7 = 63
Trapezoid with bases 1, 5 and height 8: Area = 0.5 x (1 + 5) x 8 = 24.0
Right triangle with base 9 and height 4: Area = 0.5 x 9 x 4 = 18.0
Trapezoid with bases 2, 1 and height 2: Area = 0.5 x (2 + 1) x 2 = 3.0
Rectangle with width 4 and height 3: Area = 4 x 3 = 12
Trapezoid with bases 5, 7 and height 9: Area = 0.5 x (5 + 7) x 9 = 54.0</think>

<answer>174</answer>