The area of the composite figure is 
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle
:
The formula is given by

where
and 
Substituting, we have,

Thus, the area of the rectangle = 
Area of the triangle
:
The formula is given by

where 
and 
Substituting, we have,

Thus, the area of the triangle = 
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure = 
Thus, the area of the composite figure is 
Answer:
15.24 square meters
Step-by-step explanation:
Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.