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 perimeter**P** 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 8*x* 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, .

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