Answer:
Explanation:
The question is about scale factors. The scale factor is the ratio of corresponding sides.
Scale factor
We have to assume the figures are similar, and that corresponding sides are marked. The bottom sides of the figures have the ratio ...
red : blue = 6 : 8
This ratio can be reduced to lowest terms by factoring out 2:
scale factor = red : blue = 3 : 4
This scale factor applies to all of the linear measures, one of which is perimeter. The ratio of perimeters is 3 : 4.
Area scale factor
Area is measured in square units. The scale factor for area is the square of the scale factor for linear measures.
area scale factor = red : blue = 3² : 4² = 9 : 16
The ratio of areas is 9 : 16.