Given the following shapes: a right_triangle with base 6 and height 7, a right_triangle with base 7 and height 5, a square with side 6, a rectangle with width 6 and height 6, a trapezoid with bases 7 and 9 and height 2, a square with side 4. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 6 and height 7: Area = 0.5 x 6 x 7 = 21.0
Right triangle with base 7 and height 5: Area = 0.5 x 7 x 5 = 17.5
Square with side 6: Area = 6^2 = 36
Rectangle with width 6 and height 6: Area = 6 x 6 = 36
Trapezoid with bases 7, 9 and height 2: Area = 0.5 x (7 + 9) x 2 = 16.0
Square with side 4: Area = 4^2 = 16</think>

<answer>142</answer>