Answer:
Perimeter = [tex](30-\frac{3}{2}x)[/tex]
Step-by-step explanation:
Width of the rectangle has been given as [tex](5-\frac{1}{4}x)[/tex].
Convert the statement into the algebraic expression,
"Length of the rectangle is twice the width"
Length = 2(Width)
= [tex]2(5-\frac{1}{4}x)[/tex]
= [tex]10-\frac{1}{2}x[/tex]
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 = [tex]2[(5-\frac{1}{4}x)+(10-\frac{1}{2}x)][/tex]
= [tex]2(15-\frac{3}{4}x)[/tex]
= [tex](30-\frac{3}{2}x)[/tex]
Therefore, expression representing perimeter is [tex](30-\frac{3}{2}x)[/tex].
