By dividing the figure in a rectangle and a circle, we will see that the area of the composited figure is equal to 149.25 square units.
How to find the area of the image?
The area will be the area of the rectangle plus the area of the semicircle.
We can see that the width of the rectangle is equal to the diameter of the semicircle, and the radius of the semicircle is 5 units, so its diameter is:
2*5 = 10 units.
Then the rectangle measures 11 units by 10 units, then its area is:
A = 10*11 = 110 square units.
In another hand, for a semicircle of radius R the area is:
A = 0.5*3.14*R^2
In this case we have R = 5, replacing that we get:
A = 0.5*3.14*5^2 = 39.25 square units.
Adding these two we get:
Area = 110 square units + 39.25 square units = 149.25 square units.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
