Answer:
[tex]A_{total} = 14\ in^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the left rectangle
We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.
[tex]A = l * w[/tex]
[tex]A_{left\ rectangle} = 2\ in * 4\ in[/tex]
[tex]A_{left\ rectangle} = 8\ in^2[/tex]
Step 2: Determine the area of the right rectangle
[tex]A = l * w[/tex]
[tex]A_{right\ rectangle} = 3\ in * 2\ in[/tex]
[tex]A_{right\ rectangle} = 6\ in^2[/tex]
Step 3: Determine the total area
[tex]A_{total}=A_{left\ rectangle} + A_{right\ rectangle}[/tex]
[tex]A_{total} = 8\ in^2 + 6\ in^2[/tex]
[tex]A_{total} = 14\ in^2[/tex]
Answer: [tex]A_{total} = 14\ in^2[/tex]
