Notice that the polygon can be divided on 3 rectangles, as shown in the following diagram:
The 14 ft side on the original image was split on a segment of 10ft and another of 4ft.
The areas of these rectangles, are:
[tex]\begin{gathered} A_1=(17ft)(10ft)=170ft^2 \\ A_2=(4ft)(3ft)=12ft^2 \\ A_3=(4ft)(4ft)=16ft^2 \end{gathered}[/tex]
The total area of the polygon is the sum of the areas of the three rectangles:
[tex]\begin{gathered} A=170ft^2+12ft^2+16ft^2 \\ =198ft^2 \end{gathered}[/tex]
Therefore, the area of the polygon is:
[tex]198ft^2[/tex]
