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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

Respuesta :

musiclover10045

p = 2i + 2w

Subtract 2w from each side:

p-2w = 2i

Divide both sides by 2:

p-2w / 2 = i

gmany

Answer:

[tex]\boxed{i=\dfrac{P-2w}{2}=\dfrac{P}{2}-w}[/tex]

Step-by-step explanation:

l - length

w - width

[tex]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}[/tex]

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