Question 204057
I believe the proportion you want is this one:

2/3 = 6/x

Let x = perimeter of larger figure

Can you solve for x now?

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I got your reply.  Here is mine.

2/3 = 6 meters/x meters

You got x = 9.

Let's see if that's correct.

Replace x with 9 and reduce the right side fraction.

2/3 = 6 meters/9 meters

2/3 = 2/3...It checks!

So, the larger perimeter is 9 meters.