Step-by-step explanation
We can divide the polygon into two rectangles to find its area.
![A=A1+A2](https://img.qammunity.org/2023/formulas/mathematics/high-school/hi34tw3vmu1tv2na7wk57vypw8etbyig21.png)
The formula to find the area of a rectangle is:
![A_{\text{ rectangle}}=\text{ length }\cdot\text{ width}](https://img.qammunity.org/2023/formulas/mathematics/college/lrecz98zm84qicjpcr32ixb353va52208w.png)
Then, we have:
• Area of rectangle A1
![\begin{gathered} A1=32m\cdot5m \\ A1=160m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/eynzpklf5y53ie588nckdh6900shf8y1sv.png)
• Area of rectangle A2
![\begin{gathered} A2=18m\cdot25m \\ A2=450m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/an3bubnj04o8tdt64iyp5xfz0p0qbq8j96.png)
Finally, we add the area of both rectangles.
![\begin{gathered} A=A1+A2 \\ A=160m^2+450m^2 \\ A=610m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/l4kr964oh9bnv5a4l8447bqzgi1hhh7icd.png)
Answer
The area of the polygon is 610 m².