Answer:
The area of the figure is;
![275\text{ }cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/g0tefqtwfna0057ghh86ahvs5ju4d0ftf8.png)
Step-by-step explanation:
Given the figure in the attached image.
We want to find the area of the figure.
The figure is composite and consists of a rectangle and a triangle.
The area of the figure is the sum of the area of the rectangle and the area of the triangle.
![A=l* h+(1)/(2)bh](https://img.qammunity.org/2023/formulas/mathematics/college/9jnx6r4n5ncyi4ck76fqzwt025b6iirtth.png)
Given;
![\begin{gathered} h=10\text{ cm} \\ l=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}]()
substituting the given values;
![\begin{gathered} A=20*10+(1)/(2)*15*10 \\ A=200+(1)/(2)*150 \\ A=200+75 \\ A=275\text{ }cm^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xbz0gup77nx72i12h8ovrahvwqkjibmakj.png)
Therefore, the area of the figure is;
![275\text{ }cm^2](https://img.qammunity.org/2023/formulas/mathematics/college/g0tefqtwfna0057ghh86ahvs5ju4d0ftf8.png)