Given the following shapes: a trapezoid with bases 8 and 7 and height 8, a right_triangle with base 6 and height 8, a right_triangle with base 8 and height 8, a square with side 6, a right_triangle with base 3 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 8, 7 and height 8: Area = 0.5 x (8 + 7) x 8 = 60.0
Right triangle with base 6 and height 8: Area = 0.5 x 6 x 8 = 24.0
Right triangle with base 8 and height 8: Area = 0.5 x 8 x 8 = 32.0
Square with side 6: Area = 6^2 = 36
Right triangle with base 3 and height 7: Area = 0.5 x 3 x 7 = 10.5</think>

<answer>162</answer>