Answer: The length of the rectangle is 6 in.
Step-by-step explanation: Given that a rectangle's width is twice as long as its length and the perimeter is 36 in.
We are to find the length of the rectangle.
Let l represents the length of the rectangle.
Then, the width of the rectangle i given by
w = 2l.
According to the given information, we have
[tex]\textup{perimeter of the rectangle}=36\\\\\Rightarrow 2(l+w)=36\\\\\Rightarrow 2(l+2l)=36\\\\\Rightarrow 2\times3l=36\\\\\Rightarrow 6l=36\\\\\Rightarrow l=\dfrac{36}{6}\\\\\Rightarrow l=6.[/tex]
Thus, the length of the rectangle is 6 in.
