The area of the composite figure is 57 square units.
What is the area of a triangle?
The area of a triangle is the half of the product of the base and the height of the triangle.
What is the area of a square?
The area of a square is the square of the side length of the square.
What is the area of a trapezoid?
The area of a trapezoid is the half of the product of the sum of the parallel sides and the height of it.
Given, the base of the triangle is 4 units and height is 3 units.
Therefore, the area of the triangle is
[tex]= \frac{1}{2}(base)(height)[/tex]
[tex]= \frac{1}{2}(4)(3)[/tex] square units
[tex]= 6[/tex] square units
The square has a side length of 4 units.
Therefore, the area of the square is
[tex]= 4^{2}[/tex] square units
[tex]= 16[/tex] square units
The trapezoid has a height of 5 units and two parallel sides of 6 units and 8 units.
Therefore, the area of the trapezoid is
[tex]= \frac{1}{2}(height)[/tex]× (sum of the parallel sides)
[tex]= \frac{1}{2}(6 + 8)(5)[/tex] square units
[tex]= 35[/tex] square units
Therefore, the area of the composite figure
[tex]= (6 + 16 + 35)[/tex] square units
= 57 square units
Learn more about the area of a triangle, square and trapezoid here: https://brainly.com/question/15880803
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