Question

Polygon FFF has an area of 363636 square units. Aimar drew a scaled version of Polygon FFF and labeled it Polygon GGG. Polygon GGG has an area of 444 square units. What scale factor did Aimar use to go from Polygon FFF to Polygon GGG?

Answer 1

Answer:

1/9

Step-by-step explanation:

The scale factor here is the multiplicative factor that must be applied to the area of polygon F in order to obtain the area of polygon G.

In this problem, we have:

$A_F = 36$ is the area of polygon F

$A_G=4$ is the area of polygon G

The scale factor between the areas of the two polygons can be calculated as

$k=\frac{A_G}{A_F}$

Therefore, by substituting the values of the two areas, we find:

$k=\frac{4}{36}=\frac{1}{9}$

In fact, if we multiply by 1/9 the area of polygon F, we find the area of polygon G:

$A_G=\frac{1}{9}A_F = \frac{1}{9}\cdot 36 = 4$