Question

The ratio of the areas of two similar polygons is 100:25. What is the ratio of their corresponding sides?

Answer 1

Given the ratio of areas, \(a^2 : b^2\), we can find the ratio of the similar sides as \(a:b\).

Answer 2

Basically, lengths, area, and volume of similar figures all have a ratio.
Lengths: a:b
Area: a^2:b^2
Volume: a^3:b^#

Answer 3

So if the area is 100:25, and that ratio is a^2:b^2, then you have to find the square root in order to find the side lengths. Therefore, a:b = 10:5 or 2:1

Answer 4

ty

Answer 5

You're welcome