Given the following shapes: a rectangle with width 9 and height 4, a trapezoid with bases 9 and 8 and height 1, a square with side 8, a trapezoid with bases 5 and 1 and height 1, a trapezoid with bases 8 and 1 and height 3, a square with side 7. What is the total area of all shapes? Please round the result to the nearest integer.
<think>Rectangle with width 9 and height 4: Area = 9 x 4 = 36
Trapezoid with bases 9, 8 and height 1: Area = 0.5 x (9 + 8) x 1 = 8.5
Square with side 8: Area = 8^2 = 64
Trapezoid with bases 5, 1 and height 1: Area = 0.5 x (5 + 1) x 1 = 3.0
Trapezoid with bases 8, 1 and height 3: Area = 0.5 x (8 + 1) x 3 = 13.5
Square with side 7: Area = 7^2 = 49</think>

<answer>174</answer>