Answer:
[tex]l=\dfrac{p}{2}-6[/tex]
Step-by-step explanation:
Given that,
The perimeter of a rectangle = p
Width = 6
We need to find the length of the rectangle.
The formula for the perimeter of a rectangle is given by :
[tex]p=2(l+b)[/tex]
l is length
Put b = 6
So,
[tex]p=2(l+6)\\\\\dfrac{p}{2}=l+6\\\\l=\dfrac{p}{2}-6[/tex]
So, the required length is equal to [tex]\dfrac{p}{2}-6[/tex].