The formula P = 2l + 2w calculates the perimeter of a rectangle (P) when you know the length (l) and width (w). Solve this literal equation for the width.

tricotasu

tricotasu

Answered question

2021-01-05

When the length (l) and width (W) of a rectangle are known, the formula P=2l+2w can be used to determine its perimeter (P) (w). For the width, solve this literal equation.

Answer & Explanation

Alannej

Alannej

Skilled2021-01-06Added 104 answers

We have: P=2l+2w 
Solve for w. Add 2l to both sides and subtract:
P2l=2l+2w2l 
P-2l=2w-2l 
Then divide both sides by 2: 
P2l2=2w2 
P2l2=w 
w=P2l2

xleb123

xleb123

Skilled2023-06-12Added 181 answers

Starting with the equation P=2l+2w, we can subtract 2l from both sides to move the term 2l to the right side:
P2l=2w
Next, we divide both sides of the equation by 2 to solve for w:
P2l2=w
Therefore, the solution for the width (w) in terms of the perimeter (P) and length (l) is:
w=P2l2
This equation represents the relationship between the width, perimeter, and length of a rectangle.
Andre BalkonE

Andre BalkonE

Skilled2023-06-12Added 110 answers

Step 1: Start with the given equation:
P=2l+2W
Step 2: Subtract 2l from both sides of the equation to move the term containing W to the right side:
P2l=2W
Step 3: Divide both sides of the equation by 2 to solve for W:
W=P2l2
Thus, the formula to determine the width (W) of a rectangle in terms of the length (l) and perimeter (P) is:
W=P2l2
In this formula, if you know the length (l) and perimeter (P) of a rectangle, you can substitute those values into the equation to find the width (W).

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