The expression to represent the perimeter of the rug is [tex]\rm Perimeter = \dfrac{10x+28}{5}[/tex].
A hand weaved rectangular rug measures x ft long and 2 4/5 ft wide.
An expression to represent the perimeter of the rug.
The perimeter of the rug is given by two times of length and width.
[tex]\rm Perimeter = 2( Length + Width)[/tex]
The length of the rug is x feet.
And the width of the rug is 2 4/5 feet.
Therefore,
The expression to represent the perimeter of the rug is,
[tex]\rm Perimeter = 2( Length + Width)\\\\\rm Perimeter = 2( x+ 2\dfrac{4}{5})\\\\Perimeter = 2 (x + \dfrac{2 \times 5+4}{5})\\\\Perimeter = 2(x+\dfrac{10+4}{5})\\\\Perimeter = 2(x+\dfrac{14}{5})\\\\Perimeter= 2(\dfrac{5x+14}{5})\\\\Perimeter = \dfrac{10x+28}{5}[/tex]
Hence, the expression to represent the perimeter of the rug is [tex]\rm Perimeter = \dfrac{10x+28}{5}[/tex].
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