Given the following shapes: a trapezoid with bases 3 and 3 and height 2, a square with side 6, a rectangle with width 6 and height 7, a right_triangle with base 2 and height 4, a square with side 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 3, 3 and height 2: Area = 0.5 x (3 + 3) x 2 = 6.0
Square with side 6: Area = 6^2 = 36
Rectangle with width 6 and height 7: Area = 6 x 7 = 42
Right triangle with base 2 and height 4: Area = 0.5 x 2 x 4 = 4.0
Square with side 7: Area = 7^2 = 49</think>

<answer>137</answer>