The shaded region area is the amount of space covered by the shaded region
The area of the shaded region is 3.75 square feet
How to determine the shaded area
The question is incomplete, as the figure is not given.
So, I will give a general explanation
Assume that the figure has the following properties
- Big rectangle of dimension, 10 ft by 5 ft
- Small rectangle of dimension 3 ft by 9ft
- Semicircle of a diameter of 7ft
Start by calculating the area of the big rectangle
Area = 10 ft * 5 ft = 50 square ft
Calculate the area of the small rectangle
Area = 3 ft * 9 ft = 27 square ft
Calculate the area of the semicircle
Area = 0.5 * 22/7 * (3.5)^2 ft = 19.25 square ft
Assume that the shaded area is outside the semicircle and the small rectangle, the shaded area would be:
Shaded area = Big rectangle - Small rectangle - Semicircle
So, we have:
Shaded area = 50 - 27 - 19.25
Shaded area = 3.75
Using the assumed values, the area of the shaded region is 3.75 square feet
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