Step-by-step explanation:
This figure is a rectangle and a quarter of a circle. We can find their areas and add them to find the total area of the figure.
The area of the rectangle is:
![A_{\text{rectangle}}=17cm*10\operatorname{cm}=170\operatorname{cm}^2]()
The area of a circle is:

Where r is the radius of the circle. In this case we have a quarter of a circle, so its area is a quarter of the area of the circle:

The radius of this circle is 8cm:
![A_{1/4\text{circle}}=(\pi\cdot8^2)/(4)=(\pi\cdot64)/(4)=\pi\cdot16\approx50.27\operatorname{cm}^2]()
The total area of the figure is:
![A_{\text{figure}}=A_{\text{rectangle}}+A_{1/4\text{circle}}=170\operatorname{cm}+50.27\operatorname{cm}=220.27\operatorname{cm}^2]()
Answer:
The area is 220.27 cm²