Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Find the side length of the square. The formula is for area is
[tex]a = {s}^{2} [/tex]
So take the square root to find the side length.
[tex] \sqrt{121} = \sqrt{ {s}^{2} } [/tex]
[tex]s = 11[/tex]
Now find the perimeter of the square.
[tex]11 \times 4 = 44[/tex]
setup the equation to solve for x. The left side is the perimeter of the rectangle and the right is the perimeter of the square.
[tex]3x + 3x + x - 2 + x - 2 = 44[/tex]
Collect like terms
[tex]8x - 4 = 44[/tex]
subtract 4 from both side
[tex]8x = 40[/tex]
divide both side by 8
[tex]x = 5[/tex]
