Given the following shapes: a square with side 7, a trapezoid with bases 3 and 6 and height 2, a trapezoid with bases 6 and 7 and height 7, a rectangle with width 4 and height 4, a trapezoid with bases 4 and 6 and height 3. 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
Trapezoid with bases 3, 6 and height 2: Area = 0.5 x (3 + 6) x 2 = 9.0
Trapezoid with bases 6, 7 and height 7: Area = 0.5 x (6 + 7) x 7 = 45.5
Rectangle with width 4 and height 4: Area = 4 x 4 = 16
Trapezoid with bases 4, 6 and height 3: Area = 0.5 x (4 + 6) x 3 = 15.0</think>

<answer>134</answer>