Given the following shapes: a right_triangle with base 9 and height 7, a rectangle with width 2 and height 7, a trapezoid with bases 6 and 1 and height 3, a rectangle with width 2 and height 9, a square with side 9, a rectangle with width 5 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 9 and height 7: Area = 0.5 x 9 x 7 = 31.5
Rectangle with width 2 and height 7: Area = 2 x 7 = 14
Trapezoid with bases 6, 1 and height 3: Area = 0.5 x (6 + 1) x 3 = 10.5
Rectangle with width 2 and height 9: Area = 2 x 9 = 18
Square with side 9: Area = 9^2 = 81
Rectangle with width 5 and height 5: Area = 5 x 5 = 25</think>

<answer>180</answer>