Given the following shapes: a right_triangle with base 8 and height 6, a trapezoid with bases 7 and 3 and height 8, a square with side 6, a rectangle with width 8 and height 7, a right_triangle with base 7 and height 2, a rectangle with width 7 and height 2. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 8 and height 6: Area = 0.5 x 8 x 6 = 24.0
Trapezoid with bases 7, 3 and height 8: Area = 0.5 x (7 + 3) x 8 = 40.0
Square with side 6: Area = 6^2 = 36
Rectangle with width 8 and height 7: Area = 8 x 7 = 56
Right triangle with base 7 and height 2: Area = 0.5 x 7 x 2 = 7.0
Rectangle with width 7 and height 2: Area = 7 x 2 = 14</think>

<answer>177</answer>