Given the following shapes: a right_triangle with base 7 and height 7, a square with side 6, a right_triangle with base 3 and height 4, a rectangle with width 7 and height 6, a right_triangle with base 5 and height 9, a right_triangle with base 3 and height 4. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 7 and height 7: Area = 0.5 x 7 x 7 = 24.5
Square with side 6: Area = 6^2 = 36
Right triangle with base 3 and height 4: Area = 0.5 x 3 x 4 = 6.0
Rectangle with width 7 and height 6: Area = 7 x 6 = 42
Right triangle with base 5 and height 9: Area = 0.5 x 5 x 9 = 22.5
Right triangle with base 3 and height 4: Area = 0.5 x 3 x 4 = 6.0</think>

<answer>137</answer>