we must divide the figure on parts
we have 3 areas
firts will calculate the green triangle
the formula is
[tex]A_g=\frac{b\times h}{2}[/tex]where the height is 15ft and the base 19-4=15ft
so replacing
[tex]\begin{gathered} A_g=\frac{15\times15}{2} \\ \\ A_g=\frac{225}{2} \end{gathered}[/tex]Second will calculate the red rectange
the formula is
[tex]A_r=b\times h[/tex]where the height 25 and the base 4
[tex]\begin{gathered} A_r=25\times4 \\ A_r=100 \end{gathered}[/tex]Third will calculate the yellog triangle
th formula is
[tex]A_y=\frac{b\times h}{2}[/tex]where b is 4ft and the height 29-25=4ft
[tex]\begin{gathered} A_y=\frac{4\times4}{2} \\ A_y=8 \end{gathered}[/tex]Finally to calculate the total Area add all areas
[tex]\begin{gathered} A_T=A_g+A_r+A_y \\ A_T=\frac{225}{2}+100+8 \\ \\ A_T=220.5 \end{gathered}[/tex]so, the total area of the polygon is 220.5 square feet
