Question

Polygon C CC has an area of 40 4040 square units. Kennan drew a scaled version of Polygon C CC using a scale factor of 1 2 2 1 ​ start fraction, 1, divided by, 2, end fraction and labeled it Polygon D DD. What is the area of Polygon D DD?

Answer 1

10 square units.

Explanation:

Area of Polygon C = 40 square units.

Scale factor used in obtaining polygon D =
`\frac12`

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

`=40 * (\frac12)^2\\\\=40 * \frac14\\\\=10$ square units`

The area of polygon D is 10 square units.