Given the following shapes: a trapezoid with bases 7 and 7 and height 8, a right_triangle with base 6 and height 9, a right_triangle with base 6 and height 6, a square with side 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 7, 7 and height 8: Area = 0.5 x (7 + 7) x 8 = 56.0
Right triangle with base 6 and height 9: Area = 0.5 x 6 x 9 = 27.0
Right triangle with base 6 and height 6: Area = 0.5 x 6 x 6 = 18.0
Square with side 6: Area = 6^2 = 36</think>

<answer>137</answer>