Given the following shapes: a square with side 6, a rectangle with width 9 and height 5, a trapezoid with bases 6 and 7 and height 4, a right_triangle with base 7 and height 2, a rectangle with width 4 and height 6. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 6: Area = 6^2 = 36
Rectangle with width 9 and height 5: Area = 9 x 5 = 45
Trapezoid with bases 6, 7 and height 4: Area = 0.5 x (6 + 7) x 4 = 26.0
Right triangle with base 7 and height 2: Area = 0.5 x 7 x 2 = 7.0
Rectangle with width 4 and height 6: Area = 4 x 6 = 24</think>

<answer>138</answer>