Answer:
10 square units.
Step-by-step explanation:
Area of Polygon C = 40 square units.
Scale factor used in obtaining polygon D = [tex]\dfrac12[/tex]
To obtain the area of the new polygon, we multiply the area of the polygon from which it was derived by the square of the scale factor.
Therefore:
Area of Polygon D
[tex]=40 \times (\frac12)^2\\\\=40 \times \frac14\\\\=10$ square units[/tex]
The area of polygon D is 10 square units.
