Given the following shapes: a square with side 6, a right_triangle with base 2 and height 7, a trapezoid with bases 3 and 4 and height 5, a trapezoid with bases 1 and 4 and height 5, a rectangle with width 5 and height 6, a right_triangle with base 7 and height 4. 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
Right triangle with base 2 and height 7: Area = 0.5 x 2 x 7 = 7.0
Trapezoid with bases 3, 4 and height 5: Area = 0.5 x (3 + 4) x 5 = 17.5
Trapezoid with bases 1, 4 and height 5: Area = 0.5 x (1 + 4) x 5 = 12.5
Rectangle with width 5 and height 6: Area = 5 x 6 = 30
Right triangle with base 7 and height 4: Area = 0.5 x 7 x 4 = 14.0</think>

<answer>117</answer>