Given the following shapes: a rectangle with width 7 and height 6, a right_triangle with base 9 and height 5, a right_triangle with base 5 and height 3, a trapezoid with bases 5 and 5 and height 1, a rectangle with width 7 and height 6, a trapezoid with bases 5 and 7 and height 3. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 7 and height 6: Area = 7 x 6 = 42
Right triangle with base 9 and height 5: Area = 0.5 x 9 x 5 = 22.5
Right triangle with base 5 and height 3: Area = 0.5 x 5 x 3 = 7.5
Trapezoid with bases 5, 5 and height 1: Area = 0.5 x (5 + 5) x 1 = 5.0
Rectangle with width 7 and height 6: Area = 7 x 6 = 42
Trapezoid with bases 5, 7 and height 3: Area = 0.5 x (5 + 7) x 3 = 18.0</think>

<answer>137</answer>