Given the following shapes: a square with side 4, a rectangle with width 2 and height 4, a right_triangle with base 2 and height 2, a right_triangle with base 6 and height 9, a trapezoid with bases 2 and 3 and height 9, a trapezoid with bases 5 and 6 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 4: Area = 4^2 = 16
Rectangle with width 2 and height 4: Area = 2 x 4 = 8
Right triangle with base 2 and height 2: Area = 0.5 x 2 x 2 = 2.0
Right triangle with base 6 and height 9: Area = 0.5 x 6 x 9 = 27.0
Trapezoid with bases 2, 3 and height 9: Area = 0.5 x (2 + 3) x 9 = 22.5
Trapezoid with bases 5, 6 and height 7: Area = 0.5 x (5 + 6) x 7 = 38.5</think>

<answer>114</answer>