Question

The formula p = 2i + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width.

Solve p = 2i + 2w for i

Answer 1

p = 2i + 2w

Subtract 2w from each side:

p-2w = 2i

Divide both sides by 2:

p-2w / 2 = i

Answer 2

Answer:

$\boxed{i=\dfrac{P-2w}{2}=\dfrac{P}{2}-w}$

Step-by-step explanation:

l - length

w - width

$2l+2w=P\qquad\text{subtract 2w from both sides}\\\\2l-2w-2w=P-2w\\\\2l=P-2w\qquad\text{divide both sides by 2}\\\\\boxed{l=\dfrac{P-2w}{2}}\\\\or\\\\l=\dfrac{P}{2}-\dfrac{2w}{2}\\\\\boxed{l=\dfrac{P}{2}-w}$