Imagine the shape as a rectangle with its corners cut off.
The length of the rectangle would be 12 ft + 5 ft = 17 ft.
The width is given as 14 ft.
Therefore, the area of the rectangle is 17*14 = 238 square ft.
For the corners, use bh/2 to find their area.
The unknown leg of the red "corner" triangle is (14 - 7)/2 = 3.5 ft.
The area of the red "corner" is hence (3.5*5)/2 = 8.75 square feet.
To find the final area, subtract 2 times the area of the corner(since there are 2 corners missing) from the area of the rectangle:
238 - 2*8.75 = 220.5 square ft.
Solved! :)