A formula for finding the perimeter of a rectangle is P = 2L + 2W. If you know the perimeter (P) and width (W) of a rectangle, which formula can you use to find the length (L)?
L = P – 2W – 2
L = P/2 – W
L = P/4 – W
L = P/2 – 2W
A formula for finding the perimeter of a rectangle is P = 2L + 2W. If you know the perimeter (P) and width (W) of a rectangle, which formula can you use to find the length (L)
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To find the length (L) of a rectangle using the perimeter (P) and width (W), we can start with the original formula for the perimeter:
[ P = 2L + 2W ]
Now, we want to solve for L. We can rearrange the formula as follows:
1. Start with the perimeter formula:
[ P = 2L + 2W ]
2. Subtract ( 2W ) from both sides:
[ P – 2W = 2L ]
3. Now, divide both sides by 2 to solve for L:
[ L = frac{P – 2W}{2} ]
This simplifies to:
[ L = frac{P}{2} – W ]
So the correct answer is:
L = P/2 – W.
This formula allows you to find the length of the rectangle when you know both the perimeter and the width. Keep up the good work! If you have more questions, feel free to ask!