answersLogoWhite

0

Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared.

Examples:

* if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4.

* If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.

User Avatar

Wiki User

9y ago

Still curious? Ask our experts.

Chat with our AI personalities

SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
More answers

If the figures are similar, all linear measurements are proportional, while equivalent areas are proportional to the square of the area. For example, if you increase the length by a factor of 10, both the width and the perimeter will also increase by a factor of 10; while the area will increase by a factor of 10 squared (= 100).

User Avatar

Wiki User

9y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the relationship between perimeters and areas of similar figures?
Write your answer...
Submit
Still have questions?
magnify glass
imp