Charge on metal sheet

1. The problem statement, all variables and given/known data
There are two big, same size, uncharged metal sheets in the same plane, lying parallel and very close to each other. The sheets are connected through a piece of wire, and then a pointlike charge Q is placed next to them as shown in the figure. What will the amount of charge on each metal sheet be?

2. Relevant equations

3. The attempt at a solution
I am not sure but is this related to method of images? But I doubt so because the metal sheet is not grounded. How to proceed then?

Any help is appreciated. Thanks!

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