The expression that represents the perimeter of the rectangle is: 8/3w + 10 units
Perimeter of rectangle = 2(length + width).
Let the width be represented as variable w
Width = w
Length of the rectangle = 1/3w + 5 units
Thus, substitute the values into the formula
Perimeter of the rectangle = 2(1/3w + 5 + w)
Simplify
Perimeter of the rectangle = 2(4/3w + 5)
Perimeter of the rectangle = 8/3w + 10 units
Therefore, the expression that represents the perimeter of the rectangle is: 8/3w + 10 units
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