Answer:
[tex]14x-8[/tex]
Step-by-step explanation:
The sides for the square are equal to 2x-5 because that is the square root of the area. The length of the rectangle is 3x+6 and the width is 3x-6 because that is what you get when you factor the equation.
Now, you have add them up.
[tex]4(2x-5)+2(3x-6)+2(3x+6)\\[/tex]
To take out the line in the middle of the shape we will subtract [tex]2(3x-6)[/tex] because we are assuming that this equation is equal to the shorter side. This makes the equation
[tex]4(2x-5)+2(3x-6)\\14x-8[/tex]
If you are looking for a numerical answer, I can't say I know how to get it.
Hope this helps! <3