Given the following shapes: a trapezoid with bases 4 and 3 and height 6, a right_triangle with base 3 and height 6, a right_triangle with base 4 and height 5, a square with side 9, a square with side 5, a trapezoid with bases 3 and 6 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 4, 3 and height 6: Area = 0.5 x (4 + 3) x 6 = 21.0
Right triangle with base 3 and height 6: Area = 0.5 x 3 x 6 = 9.0
Right triangle with base 4 and height 5: Area = 0.5 x 4 x 5 = 10.0
Square with side 9: Area = 9^2 = 81
Square with side 5: Area = 5^2 = 25
Trapezoid with bases 3, 6 and height 7: Area = 0.5 x (3 + 6) x 7 = 31.5</think>

<answer>178</answer>