Given the following shapes: a trapezoid with bases 7 and 1 and height 3, a trapezoid with bases 1 and 7 and height 4, a rectangle with width 7 and height 9, a square with side 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 7, 1 and height 3: Area = 0.5 x (7 + 1) x 3 = 12.0
Trapezoid with bases 1, 7 and height 4: Area = 0.5 x (1 + 7) x 4 = 16.0
Rectangle with width 7 and height 9: Area = 7 x 9 = 63
Square with side 9: Area = 9^2 = 81</think>

<answer>172</answer>