Answer:
Option C, 488 square centimeters
Step-by-step explanation:
Step 1: Determine the area of the rectangle
[tex]A = l * w[/tex]
[tex]A = 22\ cm * 17\ cm[/tex]
[tex]A = 374\ cm^2[/tex]
Step 2: Determine the area of the triangle
[tex]A=\frac{h*b}{2}[/tex]
[tex]A=\frac{19\ cm * (22\ cm-10\ cm)}{2}[/tex]
[tex]A=\frac{19\ cm * (12\ cm)}{2}[/tex]
[tex]A=\frac{228\ cm^2}{2}[/tex]
[tex]A=114\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 374\ cm^2 + 114\ cm^2[/tex]
[tex]A_{total} =488\ cm^2[/tex]
Answer: Option C, 488 square centimeters