Given the following shapes: a rectangle with width 7 and height 9, a trapezoid with bases 6 and 4 and height 5, a right_triangle with base 1 and height 3, a square with side 8, a right_triangle with base 5 and height 6, a rectangle with width 3 and height 3. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 7 and height 9: Area = 7 x 9 = 63
Trapezoid with bases 6, 4 and height 5: Area = 0.5 x (6 + 4) x 5 = 25.0
Right triangle with base 1 and height 3: Area = 0.5 x 1 x 3 = 1.5
Square with side 8: Area = 8^2 = 64
Right triangle with base 5 and height 6: Area = 0.5 x 5 x 6 = 15.0
Rectangle with width 3 and height 3: Area = 3 x 3 = 9</think>

<answer>178</answer>