Given the following shapes: a rectangle with width 4 and height 6, a trapezoid with bases 8 and 9 and height 2, a square with side 9, a right_triangle with base 7 and height 9, a right_triangle with base 6 and height 4, a right_triangle with base 5 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 4 and height 6: Area = 4 x 6 = 24
Trapezoid with bases 8, 9 and height 2: Area = 0.5 x (8 + 9) x 2 = 17.0
Square with side 9: Area = 9^2 = 81
Right triangle with base 7 and height 9: Area = 0.5 x 7 x 9 = 31.5
Right triangle with base 6 and height 4: Area = 0.5 x 6 x 4 = 12.0
Right triangle with base 5 and height 5: Area = 0.5 x 5 x 5 = 12.5</think>

<answer>178</answer>