Given the following shapes: a square with side 6, a trapezoid with bases 8 and 7 and height 9, a trapezoid with bases 4 and 1 and height 7, a rectangle with width 4 and height 5, a square with side 4. 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
Trapezoid with bases 8, 7 and height 9: Area = 0.5 x (8 + 7) x 9 = 67.5
Trapezoid with bases 4, 1 and height 7: Area = 0.5 x (4 + 1) x 7 = 17.5
Rectangle with width 4 and height 5: Area = 4 x 5 = 20
Square with side 4: Area = 4^2 = 16</think>

<answer>157</answer>