The formula for perimeter the a rectangle is provided by ns = 2l + 2w, wherein p = perimeter, l = length, and also w = width. Resolve the formula because that w.

You are watching: P = 2l + 2w for w

Solving for W.

P = 2L + 2W

P - 2L = 2L - 2L + 2W individually 2L native both political parties of the equation.

P - 2L = 2W

(P - 2L)/2 = (2W)/2 separating both sides of the equation by 2 to isolate the change W.

(P - 2L)/2 = W

W = (P - 2L)/2

ANSWER: W = (P - 2L)/2

CHECKING:

Pick a rectangle with length = 10 feet, and also Width = 5 feet.

P = 2L + 2W = 20 + 10 = 30 feet

Plugging into W = (P - 2L)/2,

5 = (30 - 20)/2

5 = 10/2

5 = 5

Hope this helps you Nick.


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