Question

These polygons are similar. Compare the first polygon to the second. Find the ratio of the areas..

Answer 1

D

Explanation:

For similar polygons, there exists a scale factor between side lengths. The scale factors of their areas will be the scale factor squared.

For example, a two similar rectangles with lengths 2 cm and 4 cm and widths 5 cm and 10 cm, The rectangles have a scale factor pf 2. The rectangles also will have areas 10 and 40. The scale factor of their areas is 4 or 2 squared.

The polygons here have a scale factor of
`(40)/(15) =(8)/(3)` and is simplified to 8/3. Their areas will be 8/3 squared or 64/9.