0

# What is the relationship between perimeters and areas of similar figures?

DayanaReyesgp5024

Lvl 1
2015-05-31 06:54:16

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.

Wiki User

2015-05-31 06:54:16
Study guides

20 cards

## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

➡️
See all cards
3.8
1775 Reviews

Wiki User

2015-05-30 14:06:01

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).

Earn +20 pts
Q: What is the relationship between perimeters and areas of similar figures?
Submit
Still have questions?

View results

View results

View results

View results

View results

View results