Given the following shapes: a square with side 6, a rectangle with width 4 and height 9, a square with side 7, a trapezoid with bases 2 and 1 and height 7, a trapezoid with bases 5 and 7 and height 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 6: Area = 6^2 = 36
Rectangle with width 4 and height 9: Area = 4 x 9 = 36
Square with side 7: Area = 7^2 = 49
Trapezoid with bases 2, 1 and height 7: Area = 0.5 x (2 + 1) x 7 = 10.5
Trapezoid with bases 5, 7 and height 7: Area = 0.5 x (5 + 7) x 7 = 42.0</think>

<answer>174</answer>