Given the following shapes: a trapezoid with bases 6 and 8 and height 3, a rectangle with width 7 and height 9, a right_triangle with base 2 and height 4, a square with side 7, a right_triangle with base 7 and height 9. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 6, 8 and height 3: Area = 0.5 x (6 + 8) x 3 = 21.0
Rectangle with width 7 and height 9: Area = 7 x 9 = 63
Right triangle with base 2 and height 4: Area = 0.5 x 2 x 4 = 4.0
Square with side 7: Area = 7^2 = 49
Right triangle with base 7 and height 9: Area = 0.5 x 7 x 9 = 31.5</think>

<answer>168</answer>