Answer:
[tex]A_{total} = 16\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the top rectangle
We can tell that the total shape seems like two rectangles glued together. We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them. Lets first solve the left rectangle.
[tex]A=l*w[/tex]
[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]
[tex]A_{top\ rectangle}=12\ cm^2[/tex]
Step 2: Determine the area of the bottom rectangle
[tex]A=l*w[/tex]
[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]
[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]
[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]
[tex]A_{total} = 16\ cm^2[/tex]
Answer: [tex]A_{total} = 16\ cm^2[/tex]
