Question

The figures are similar. What are a) the ratio of the perimeters and b) the ratio of the area of the first figure to the second? Thanks.

Answer 1

Lengths scale as sides, 45/21, areas as sides squared. (45/21)^2.

Answer 2

Im sorry, I dont understand.

Answer 3

Are you implying those are the answers? They dont fit my choices.

Answer 4

both are divisible by 3

Answer 5

15:7

Answer 6

Yes, so a would a) is 15/7

Answer 7

yes, and if the area is also the same 45:21
then the same ratio can be used 15:7

Answer 8

what do you have as your choices?

Answer 9

It would be between 26/19 and 225/49.

Answer 10

because area is always squared

Answer 11

225/49 indicates the ratio 15:7

Answer 12

area is always square (15/7)^2 = 225/49

Answer 13

Oh, awesome. I got stuck when you mentioned the area is always squared but now i see how to do it. Thanks Nin.

Answer 14

yeah laws of exponent \[\left( \frac{ a }{ b } \right)^2 =\frac{ a^2 }{ b^2 }\]

Answer 15

Can i ask you one more ratio question while youre here?

Answer 16

k

Answer 17

Two similar trapezoids have an area of 384c,^2 and 24cm^2. What is their ratio of similarity?

Would i just divide them into their smallest form?

Answer 18

correct. first thing is to check whether 384 is divisible by 24, and I think it is
you can use that
16:1

Answer 19

in the smallest for itd be 2:1?

Answer 20

form

Answer 21

or 4:1?

Answer 22

would it? there's a huge difference between 384 and 24
the smallest form you can divide them both is by the smallest you have, 24

Answer 23

384/24 = 16/1

Answer 24

so your ratio is 16:1
the reason I asked you to see if you can divide 384 by 24 so that you don't have to go through dividing both sides by 2 or 3 until it is simplified completely

Answer 25

what are your choices?

Answer 26

Right, I understand. My question wants us to go smaller though.
a: 1:2 -- not possibility
b: 1:4 -- not a possibility
c: 2:1 -- not likely
d: 4:1 -- my choice.

I originally divided them both by 12 to get 32/2.

Answer 27

yeah D

Answer 28

awesome, thanks again!

Answer 29

\[\sqrt{\left( \frac{ 16 }{ 1 } \right)}=\frac{ 4 }{ 1 } \rightarrow \left( \frac{ 4 }{ 1 } \right)^2=\frac{ 16 }{ 1 }\]

Answer 30

ciao for now, I have to study for my exam LAUGHING OUT LOUD