Given the following shapes: a right_triangle with base 2 and height 7, a trapezoid with bases 4 and 4 and height 1, a square with side 4, a rectangle with width 9 and height 7, 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>Right triangle with base 2 and height 7: Area = 0.5 x 2 x 7 = 7.0
Trapezoid with bases 4, 4 and height 1: Area = 0.5 x (4 + 4) x 1 = 4.0
Square with side 4: Area = 4^2 = 16
Rectangle with width 9 and height 7: Area = 9 x 7 = 63
Rectangle with width 4 and height 6: Area = 4 x 6 = 24</think>

<answer>114</answer>