Question

Two sqaure are similar. The ratio of a set of sides is 2:4. whatis the ratio of their area?

Answer 1

@Loujoelou

Answer 2

Two Squares*

Answer 3

this seems familiar

Answer 4

say the sides of a square are: a and b

similar shapes differ at most by a scalar, lets say "n"

the second square has sides: an and bn

area of the first is then: ab
and area of the second is: anbn, or n^2 ab

Answer 5

too familiar :)

Answer 6

I dontget it lol sorry im dumb in math haha xD

Answer 7

what is the area of the 2x2?

Answer 8

4

Answer 9

good, lets keep that in mind

now what is the area of the 4x4?

Answer 10

16

Answer 11

4:16 <3

Answer 12

then we should just write the ratio of the areas as:

4:16 , which can be reduced to 1:4

notice that the ratio of the general setup was: 1:n^2

2n = 4, such that n=2

1:2^2 is the same thing we got with 1:4

Answer 13

So its 1:4 then :)

Answer 14

yes :)

Answer 15

but thats not an option so imma do 4:16 ok?

Answer 16

4:16 is fine by me

what are the option by the way?

Answer 17

2:6
4:16
4:8
8:16

Answer 18

then i would opt for 4:16 as well

Answer 19

ok thanks man