Given the following shapes: a rectangle with width 6 and height 5, a square with side 7, a trapezoid with bases 6 and 6 and height 4, a trapezoid with bases 3 and 7 and height 1, a trapezoid with bases 9 and 6 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 6 and height 5: Area = 6 x 5 = 30
Square with side 7: Area = 7^2 = 49
Trapezoid with bases 6, 6 and height 4: Area = 0.5 x (6 + 6) x 4 = 24.0
Trapezoid with bases 3, 7 and height 1: Area = 0.5 x (3 + 7) x 1 = 5.0
Trapezoid with bases 9, 6 and height 9: Area = 0.5 x (9 + 6) x 9 = 67.5</think>

<answer>176</answer>