The area of the composite figure is 29.92 m².
<h3>Area of Compound Shapes</h3>This exercise requires your knowledge about the area of compound shapes. For solving this, you should:
- Identify the basic shapes;
- Calculate your individual areas;
- Sum each area found.
For finding the area, the steps are presented below.
- STEP 1 - Identify the basic shapes.
The figure of the question as informed is composed for a sector of circle and a rectangle. Therefore, you should sum the area of these geometric figures.
- STEP 2 - Find the area of the sector of circle.
Area of the sector of circle= , where:
r= 5.5 m
Θ=30°
Then,
- STEP 3 - Find the area of the rectangle.
Area of the rectangle= . The figure shows:
b= length of the base= 5.5 m
h=height= 4 m
Thus, the area of the rectangle= .
- STEP 4 - Find the composite figure
Learn more about the area of compound shapes here: