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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, .
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