Are the ratios 12:6 and 2:1 equivalent?

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is which equals to 2,

2:1 is also which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: