Answer:
74 in²
Explanation:
The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.
The area of the whole rectangle can be found with:
A = b · h
A = 9 in · 11 in
A = 99 in²
So the area of the entire rectangle (with the empty space included) is 99 in².
In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:
A = b · h
A = 5 in · h
In order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).
11 in - (4 in + 2 in) = 5 in
So the height is 5 in:
A = 5 in · 5 in
A = 25 in²
The area of the composite figure is:
A = 99 in² - 25 in²
A = 74 in²