Question

The formula P= 2/+ 2w means that the perimeter of a rectangle is equal to

twice the sum of its length and its width.
Solve P = 21+ 2 w for /

Answer 1

D.
`l = (P - 2w)/(2)`

Explanation:

Given:

`P = 2l + 2w`

Required:

Solve for l

Solution:

To solve for l, we would make l the subject of the given formula.

`P = 2l + 2w`

`P = 2(l + w)`

Divide both sides by 2

`(P)/(2) = (2(l + w))/(2)`

`(P)/(2) = l + w`

Subtract w from both sides

`(P)/(2) - w = l + w - w`

`(P)/(2) - w = l`

`(P)/(2) - (w)/(1) = l`

`(P - 2w)/(2) = l`

Rewrite

`l = (P - 2w)/(2)`