Answer:
a) 2.5
b) 6.25
Step-by-step explanation:
For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.
<h3>Application</h3>
The ratio of linear dimensions, larger to smaller, is ...
(30 yd)/(12 yd) = 2.5
<h3>a) Perimeter</h3>
Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.
<h3>b) Area</h3>
The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:
(2.5)² = 6.25
The ratio of the areas of the larger to smaller figure is 6.25.
