The perimeter and the area of the figure are 65.59 units and 250.88 square units, respectively
Finding the perimeter and area of the compound shape.
From the question, we have the following parameters that can be used in our computation:
The compound shape.
The perimeter is the sum of the side lengths of the shape
Where, we use the circumference formula for the circle
Using the above as a guide, we have the following:
Perimeter = 11.2 + 11.2 + 8 + πr
So, we have
Perimeter = 65.59
For the area, we have
Area = Triangle + Square + Semicircle
Area = 1/2 * 11.2 * 11.2 + 11.2 * 11.2 + 1/2 * 11.2 * 11.2
Area = 250.88
Hence, the area is 250.88 square units