Explanation
We can divide the polygon into two rectangles to find its area.
[tex]A=A1+A2[/tex]
The formula to find the area of a rectangle is:
[tex]A_{\text{ rectangle}}=\text{ length }\cdot\text{ width}[/tex]
Then, we have:
• Area of rectangle A1
[tex]\begin{gathered} A1=32m\cdot5m \\ A1=160m^2 \end{gathered}[/tex]
• Area of rectangle A2
[tex]\begin{gathered} A2=18m\cdot25m \\ A2=450m^2 \end{gathered}[/tex]
Finally, we add the area of both rectangles.
[tex]\begin{gathered} A=A1+A2 \\ A=160m^2+450m^2 \\ A=610m^2 \end{gathered}[/tex]Answer
The area of the polygon is 610 m².
