Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the polygon A (and other possible polygons to select from) are not given. So, I will answer on a general term.
Assume that Polygon A is a rectangle of dimension 2ft by 5ft.
[tex]Length = 2ft[/tex] [tex]Width = 5ft[/tex]
Possible scaled copies can be gotten by multiplying the dimension of A by the same scale factor.
Take for instance, the scale factor k is:
[tex]k = 3[/tex]
A scaled copy of polygon A (say polygon B) is: 6ft by 15ft
This is gotten by:
[tex]Length = 2ft * 3 = 6ft[/tex] [tex]Width = 5ft * 3 = 15ft[/tex]
The area of A is:
[tex]Area = 2ft * 5ft = 10ft^2[/tex]
The area of B is:
[tex]Area = 6ft * 15ft = 90ft^2[/tex]
See attachment for polygons
Comparison
The area of B is greater than the area of B.
This method can be applied to scale factors
