Given the following shapes: a square with side 7, a rectangle with width 5 and height 6, a rectangle with width 3 and height 7, a trapezoid with bases 4 and 6 and height 6, a rectangle with width 4 and height 3, a trapezoid with bases 5 and 8 and height 4. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 7: Area = 7^2 = 49
Rectangle with width 5 and height 6: Area = 5 x 6 = 30
Rectangle with width 3 and height 7: Area = 3 x 7 = 21
Trapezoid with bases 4, 6 and height 6: Area = 0.5 x (4 + 6) x 6 = 30.0
Rectangle with width 4 and height 3: Area = 4 x 3 = 12
Trapezoid with bases 5, 8 and height 4: Area = 0.5 x (5 + 8) x 4 = 26.0</think>

<answer>168</answer>