Given the following shapes: a rectangle with width 5 and height 4, a rectangle with width 4 and height 8, a trapezoid with bases 6 and 1 and height 5, a right_triangle with base 6 and height 4, a trapezoid with bases 4 and 5 and height 7, a trapezoid with bases 3 and 5 and height 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 5 and height 4: Area = 5 x 4 = 20
Rectangle with width 4 and height 8: Area = 4 x 8 = 32
Trapezoid with bases 6, 1 and height 5: Area = 0.5 x (6 + 1) x 5 = 17.5
Right triangle with base 6 and height 4: Area = 0.5 x 6 x 4 = 12.0
Trapezoid with bases 4, 5 and height 7: Area = 0.5 x (4 + 5) x 7 = 31.5
Trapezoid with bases 3, 5 and height 6: Area = 0.5 x (3 + 5) x 6 = 24.0</think>

<answer>137</answer>