The area of the composite figure is 34 square units because the composite figure is looks like trapezoid but a portion of it missing which is a rectangle.
What is a trapezoid?
It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have a composite figure with dimensions showing in the picture.
As we can see, the composite figure is looks like trapezoid but a portion of it missing which is a rectangle.
So first we will calculate the area of the trapezoid and subtract the area of the rectangle from it to find the area of the rectangle.
The area of trapezoid is given by:
[tex]\rm A = \frac{a+b}{2} \times h[/tex]
We have a = 6, b = 10, and h = 5
[tex]\rm A = \frac{6+10}{2} \times 5[/tex]
A = 40 square units
The area of a rectangle is given by:
A' = L×W
A' = 3×2
A' = 6 square units
Now, the area of the composite figure:
= A—A'
= 40 – 6
= 34 square units
Thus, the area of the composite figure is 34 square units because the composite figure is looks like trapezoid but a portion of it missing which is a rectangle.
Learn more about the trapezoid here:
brainly.com/question/8643562
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