Two similar figures have areas of 25 inand 4 in".

and what is the ratio of their perimeters?

The radio of their perimeters is 2:5

Step-by-step explanation:

1. We know that the area of a figure is 25 inches² and the area of another figure is 4 inches ². For finding the length of its sides, we use the following formula:

Side * side = Area

Side² = Area

Side = √Area

Therefore,

Side of the 1st figure = √25

Side of the 1st figure = 5 inches

Perimeter of the 1st figure = 5 + 5 + 5 + 5 = 20 inches

Side of the 2nd figure = √4

Side of the 2nd figure = 4 inches

Perimeter of the 2nd figure = 2 + 2 + 2 + 2 = 8 inches

Ratio of the perimeters = 8:20 that can be simplified as 2:5

The radio of their perimeters is 2:5