Given the following shapes: a right_triangle with base 6 and height 7, a rectangle with width 5 and height 6, a right_triangle with base 8 and height 9, a rectangle with width 6 and height 4, a rectangle with width 9 and height 2, a right_triangle with base 2 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 6 and height 7: Area = 0.5 x 6 x 7 = 21.0
Rectangle with width 5 and height 6: Area = 5 x 6 = 30
Right triangle with base 8 and height 9: Area = 0.5 x 8 x 9 = 36.0
Rectangle with width 6 and height 4: Area = 6 x 4 = 24
Rectangle with width 9 and height 2: Area = 9 x 2 = 18
Right triangle with base 2 and height 7: Area = 0.5 x 2 x 7 = 7.0</think>

<answer>136</answer>