Given the following shapes: a right_triangle with base 2 and height 3, a right_triangle with base 6 and height 6, a trapezoid with bases 5 and 9 and height 4, a rectangle with width 6 and height 7, a trapezoid with bases 7 and 8 and height 2, a trapezoid with bases 8 and 7 and height 4. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 2 and height 3: Area = 0.5 x 2 x 3 = 3.0
Right triangle with base 6 and height 6: Area = 0.5 x 6 x 6 = 18.0
Trapezoid with bases 5, 9 and height 4: Area = 0.5 x (5 + 9) x 4 = 28.0
Rectangle with width 6 and height 7: Area = 6 x 7 = 42
Trapezoid with bases 7, 8 and height 2: Area = 0.5 x (7 + 8) x 2 = 15.0
Trapezoid with bases 8, 7 and height 4: Area = 0.5 x (8 + 7) x 4 = 30.0</think>

<answer>136</answer>