Answer:
Perimeter =

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-(1)/(4)x)+(10-(1)/(2)x)]](https://img.qammunity.org/2022/formulas/mathematics/college/310olouyxi3flqo975c4ejpunqwsq0jgnk.png)
=

=
Therefore, expression representing perimeter is
.