Given the following shapes: a right_triangle with base 4 and height 7, a right_triangle with base 3 and height 6, a trapezoid with bases 7 and 2 and height 9, a square with side 8, a trapezoid with bases 6 and 7 and height 8. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 4 and height 7: Area = 0.5 x 4 x 7 = 14.0
Right triangle with base 3 and height 6: Area = 0.5 x 3 x 6 = 9.0
Trapezoid with bases 7, 2 and height 9: Area = 0.5 x (7 + 2) x 9 = 40.5
Square with side 8: Area = 8^2 = 64
Trapezoid with bases 6, 7 and height 8: Area = 0.5 x (6 + 7) x 8 = 52.0</think>

<answer>180</answer>