SOLUTION: Two square have their sides in the ration 2:3. What is the ration of their 1) Perimeter 2) Area

Question 917723: Two square have their sides in the ration 2:3. What is the ration of their
1) Perimeter
2) Area
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= side length for the smaller square
= side length for the larger square

1) = perimeter for the smaller square
= perimeter for the larger square
The ratio of the perimeters is

2) = area for the smaller square
= area for the larger square
The ratio of the areas is

NOTE: For similar shapes (two squares, two cubes, two circles, two spheres, etc),
all measures of length (side, perimeter, radius, diameter, circumference, etc) are in the same ratio.
If that ratio is ,
The ratio of corresponding areas is ,
and the ratio of corresponding volumes is .
That works for any kind of shape, as long as one is a scaled up or scaled down version of the other.
RELATED QUESTIONS
The diameters of two spheres are in the ration 2:3 and the sum of their volumes is 1,260... (answered by Fombitz)

Presently, Bill is 13 and his dad is 35. What will their ages be when the ration of their (answered by jorel1380)

The sides of a triangle are in the ration 1:2:1. The perimeter of a triangle is 125cm.... (answered by Edwin McCravy,solver91311,ikleyn)

Mary's age and Bob's age are in the ration 3:2. Eight years later, the ratio of their... (answered by ankor@dixie-net.com)

The sides of a triangle are in a 2:3:4 ration what is the length of the longest side if... (answered by richwmiller)

two numbers are in the ration is 1:3.if the sum of the two is increased by 2, the results (answered by robertb)

Three numbers are in the ration of 2:3:3 What are the numbers if the sum is... (answered by checkley77)

John is twice as old as his son. In 42 years, the ration of their ages will be 4:3.... (answered by ankor@dixie-net.com)

if the degree measures of the four angles of a quadrilateral are in the ration 1:2:3:4... (answered by stanbon)