Given the following shapes: a right_triangle with base 1 and height 7, a right_triangle with base 6 and height 1, a rectangle with width 5 and height 5, a rectangle with width 1 and height 4, a right_triangle with base 5 and height 9, a square with side 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Right triangle with base 1 and height 7: Area = 0.5 x 1 x 7 = 3.5
Right triangle with base 6 and height 1: Area = 0.5 x 6 x 1 = 3.0
Rectangle with width 5 and height 5: Area = 5 x 5 = 25
Rectangle with width 1 and height 4: Area = 1 x 4 = 4
Right triangle with base 5 and height 9: Area = 0.5 x 5 x 9 = 22.5
Square with side 7: Area = 7^2 = 49</think>

<answer>107</answer>