Given the following shapes: a right_triangle with base 4 and height 7, a right_triangle with base 7 and height 6, a trapezoid with bases 4 and 6 and height 1, a rectangle with width 7 and height 7, a square with side 7, a rectangle with width 8 and height 5. 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 7 and height 6: Area = 0.5 x 7 x 6 = 21.0
Trapezoid with bases 4, 6 and height 1: Area = 0.5 x (4 + 6) x 1 = 5.0
Rectangle with width 7 and height 7: Area = 7 x 7 = 49
Square with side 7: Area = 7^2 = 49
Rectangle with width 8 and height 5: Area = 8 x 5 = 40</think>

<answer>178</answer>