Given the following shapes: a square with side 3, a trapezoid with bases 4 and 6 and height 3, a trapezoid with bases 8 and 9 and height 9, a square with side 3, a trapezoid with bases 6 and 7 and height 5, a trapezoid with bases 5 and 9 and height 5. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Square with side 3: Area = 3^2 = 9
Trapezoid with bases 4, 6 and height 3: Area = 0.5 x (4 + 6) x 3 = 15.0
Trapezoid with bases 8, 9 and height 9: Area = 0.5 x (8 + 9) x 9 = 76.5
Square with side 3: Area = 3^2 = 9
Trapezoid with bases 6, 7 and height 5: Area = 0.5 x (6 + 7) x 5 = 32.5
Trapezoid with bases 5, 9 and height 5: Area = 0.5 x (5 + 9) x 5 = 35.0</think>

<answer>177</answer>