Answer:
The area of the composite area is 400 square millimeters.
Step-by-step explanation:
The area of the composite figure ([tex]A[/tex]), in square millimeters, is found by multiplying the area of the equivalent rectangle, in which a semicircle of the original rectangle is move to the opposite side of the figure, so that quantity of area is conserved:
[tex]A = w\cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, in millimeters.
[tex]h[/tex] - Height, in millimeters.
If we know that [tex]h = w = 20\,mm[/tex], the area of the composite figure is:
[tex]A = (20\,mm)\cdot (20\,mm)[/tex]
[tex]A = 400\,mm^{2}[/tex]
The area of the composite area is 400 square millimeters.
