The given formula for the perimeter of a rectangle is given by the equation as:
[tex]p = 21+2w[/tex]
we have to determine the equivalent equation, which is used to solve for the variable 'w'.
Since, [tex]p = 21+2w[/tex]
Subtracting '21' from both the sides of the given equation, we get
[tex]p-21=21+2w-21[/tex]
[tex]p-21=(21-21)+2w[/tex]
[tex]p-21=0+2w[/tex]
[tex]p-21=2w[/tex]
Dividing by '2' from both the sides of the equation, we get as
[tex]\frac{p-21}{2}= \frac{2w}{2}[/tex]
[tex]\frac{p}{2} - \frac{21}{2} = w[/tex] is the required equation used to solve for the variable 'w'.
