Answer:
Perimeter = 
Step-by-step explanation:
Width of the rectangle has been given as
.
Convert the statement into the algebraic expression,
"Length of the rectangle is twice the width"
Length = 2(Width)
= 
= 
Since perimeter of a rectangle is given by the expression,
Perimeter = 2(Length + Width)
By substituting the values of length and width in the expression,
Perimeter = ![2[(5-\frac{1}{4}x)+(10-\frac{1}{2}x)]](https://tex.z-dn.net/?f=2%5B%285-%5Cfrac%7B1%7D%7B4%7Dx%29%2B%2810-%5Cfrac%7B1%7D%7B2%7Dx%29%5D)
= 
=
Therefore, expression representing perimeter is
.