Given the following shapes: a rectangle with width 6 and height 4, a right_triangle with base 5 and height 6, a rectangle with width 6 and height 6, a rectangle with width 6 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 6 and height 4: Area = 6 x 4 = 24
Right triangle with base 5 and height 6: Area = 0.5 x 5 x 6 = 15.0
Rectangle with width 6 and height 6: Area = 6 x 6 = 36
Rectangle with width 6 and height 7: Area = 6 x 7 = 42</think>

<answer>117</answer>