First find the perimeter of rectangle.

The perimeter P of a rectangle is given by the formula,

Where L is the length and is W is the width of the rectangle.                                            

The perimeter  P of a rectangle is

(Substitute )

        (Apply distributive property: )

                      (Multiply: )

                            (Apply commutative property of addition: )

                            (Apply distributive property: )

                              (Add: )

Next find the perimeter of square.

The perimeterP of a square is given by the formula,

Wheres s is side length of the square.

The perimeter P of a square is

              (Substitute  )

                 (Multiply: )

Write an equation that represents the situation.

So,

Substitute ,

       (Subtract 8x from each side)

         (Apply commutative property of addition: )

                       (Apply additive inverse property: )

                                (Apply additive identity property: )

                                  (Subtract: )

                             (Divide each side by 4)

                                          (Cancel common terms)

                                             (Divide: )

Check:

To check the solution, substitute in equations.

Compare the values, the equation is true.

Dimension of rectangle:

Length of the rectangle,

Width of the rectangle,

Dimension of square:

Each side length of the square,

Length of the rectangle,

Width of the rectangle,

Each side length of the square, .