Given the following shapes: a trapezoid with bases 6 and 8 and height 6, a trapezoid with bases 1 and 4 and height 5, a square with side 6, a right_triangle with base 9 and height 6, a trapezoid with bases 2 and 7 and height 3. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Trapezoid with bases 6, 8 and height 6: Area = 0.5 x (6 + 8) x 6 = 42.0
Trapezoid with bases 1, 4 and height 5: Area = 0.5 x (1 + 4) x 5 = 12.5
Square with side 6: Area = 6^2 = 36
Right triangle with base 9 and height 6: Area = 0.5 x 9 x 6 = 27.0
Trapezoid with bases 2, 7 and height 3: Area = 0.5 x (2 + 7) x 3 = 13.5</think>

<answer>131</answer>