Question

The formula for the perimeter of a rectangle is p=21+2w which is the equivalent equation solved for w?

Answer 1

The given formula for the perimeter of a rectangle is given by the equation as:

`p = 21+2w`

we have to determine the equivalent equation, which is used to solve for the variable 'w'.

Since,
`p = 21+2w`

Subtracting '21' from both the sides of the given equation, we get

`p-21=21+2w-21`

`p-21=(21-21)+2w`

`p-21=0+2w`

`p-21=2w`

Dividing by '2' from both the sides of the equation, we get as

`(p-21)/(2)= (2w)/(2)`

`(p)/(2) - (21)/(2) = w` is the required equation used to solve for the variable 'w'.