Question

__5. If the formula for the perimeter of a rectangle

is P=21+2w, then w can be expressed as
21-P
P-1
(1) w=-
(3) w=
2
P-21
P-zw
(2) w-
(4) w = -
21
-
2
2​

Answer 1

`w=(P-2l)/(2) \textrm{ or } w=(P)/(2)-l`

Explanation:

Given:

The perimeter of a rectangle is given as,

`P=2l+2w`

We are asked to express this in terms of
`w`.

Add -2l both sides and simplify. This gives,

`P-2l=2l-2l+2w\\ P-2l=2w`

Now, we divide both sides by 2 to get an expression in terms of
`w`. This gives,

`(P-2l)/(2)=(2w)/(2)\\ w=(P-2l)/(2) \textrm{ or}\\ w=(P)/(2)-l`