Answer:
1/9
Step-by-step explanation:
(1/3)^2 = 1/3 x 1/3 =1/9
plus I checked the answer after I got it wrong so...
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
This is a case of enlargement of a figure of scale factor [tex]\frac{1}{3}[/tex].
In any enlargement, [tex]Area(F')=k^2 Area(F)[/tex], where the transformation maps F onto F'.
In this case, let F be polygon XXX and let F' be polygon YYY. Hence,
[tex]Area(YYY) = k^2 Area (XXX)[/tex]
[tex]Area(YYY) = (\frac{1}{3})^2 Area(XXX)[/tex]
[tex]Area(YYY) = \frac{1}{9} Area(XXX)[/tex]
Therefore, the area of polygon YYY is [tex]\frac{1}{9}[/tex] of the area of polygon XXX.
