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

Answer:

$w=\frac{P-2l}{2} \textrm{ or } w=\frac{P}{2}-l$

Step-by-step 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,

$\frac{P-2l}{2}=\frac{2w}{2}\\ w=\frac{P-2l}{2} \textrm{ or}\\ w=\frac{P}{2}-l$