P = 2L + 2W for W.
The Correct Answer and Explanation is:
To solve for WWW in the equation P=2L+2WP = 2L + 2WP=2L+2W, we need to isolate WWW on one side of the equation.
Steps:
- Start with the given equation: P=2L+2WP = 2L + 2WP=2L+2W
- Subtract 2L2L2L from both sides of the equation to move the 2L2L2L term to the left side: P−2L=2WP – 2L = 2WP−2L=2W
- Now, to isolate WWW, divide both sides of the equation by 2: P−2L2=W\frac{P – 2L}{2} = W2P−2L=W
- Thus, the solution for WWW is: W=P−2L2W = \frac{P – 2L}{2}W=2P−2L
Explanation:
- The original equation P=2L+2WP = 2L + 2WP=2L+2W represents a perimeter formula for a rectangle, where PPP is the perimeter, LLL is the length, and WWW is the width.
- To solve for WWW, you need to isolate the variable WWW. The first step is to get rid of the term involving LLL, which is 2L2L2L, by subtracting it from both sides.
- Once that is done, the remaining equation can be simplified by dividing both sides by 2 to get the final formula for WWW.
- This formula shows that the width WWW is related to the perimeter PPP and the length LLL.
